group
Language: English
Part of speech: noun
Pronunciation: enpr: gro͞op
ipa: /ɡɹuːp/
rhymes: -uːp
Forms: form: groups
form: groop
form: groupe
Etymology: From French groupe (“cluster, group”), from Italian gruppo, groppo (“a knot, heap, group, bag (of money)”), from Vulgar Latin *cruppo, Renaissance Latin grupus, from Frankish *krupp, from Proto-Germanic *kruppaz (“lump, round mass, body, crop”), from Proto-Indo-European *grewb- (“to crumple, bend, crawl”).
In the “group theory” sense, calqued from French groupe, a term coined by the young French mathematician Évariste Galois in 1830.
Cognate with German Kropf (“crop, craw, bunch”); Old English cropp, croppa (“cluster, bunch, sprout, flower, berry, ear of corn, crop”) (whence English crop); Dutch krop (“craw”), Icelandic kroppr (“hump, bunch”). Doublet of crop and croup.
Senses: examples: text: Then everybody once more knelt, and soon the blessing was pronounced. The choir and the clergy trooped out slowly, […], down the nave to the western door. […] At a seemingly immense distance the surpliced group stopped to say the last prayer.
ref: 1918, W[illiam] B[abington] Maxwell, chapter V, in The Mirror and the Lamp, Indianapolis, Ind.: The Bobbs-Merrill Company, →OCLC:
text: Imagine a country where children do nothing but play until they start compulsory schooling at age seven. Then, without exception, they attend comprehensives until the age of 16. Charging school fees is illegal, and so is sorting pupils into ability groups by streaming or setting.
ref: 2013 July 19, Peter Wilby, “Finland spreads word on schools”, in The Guardian Weekly, volume 189, number 6, page 30:
text: there is a group of houses behind the hill; he left town to join a Communist group
text: A group of people is/are gathering in front of the Parliament to demonstrate against the Prime Minister's proposals.
glosses: A number of things or persons being in some relation to one another.
examples: text: Throughout this section, we shall assume the existence of finitely presented groups with unsolvable word problem.
ref: 1977, Roger C. Lyndon, Paul E. Schupp, Combinatorial Group Theory, Springer, page 192:
text: In this chapter we give some examples of Fuchsian groups. The most interesting and important ones are the so-called "arithmetic" Fuchsian groups, i.e., discrete subgroups of PSL(2,R) obtained by some "arithmetic" operations. One such construction we have already seen: if we choose all matrices of SL(2,R) with integer coefficients, then the corresponding elements of PSL(2,R) form the modular group PSL(2,Z).
ref: 1992, Svetlana Katok, Fuchsian Groups, University of Chicago Press, page 112:
text: 2007, Zhong-Qi Ma, Group Theory for Physicists, World Scientific, page 277,
In Chap. 4 the fundamental concepts on Lie groups have been introduced through the SO(3) group and its covering group SU(2).
topics: group-theory
mathematics
sciences
glosses: A set with an associative binary operation, under which there exists an identity element, and such that each element has an inverse.
topics: geometry
mathematics
sciences
glosses: An effective divisor on a curve.
examples: text: Did you see the new jazz group?
glosses: A (usually small) group of people who perform music together.
topics: astronomy
natural-sciences
glosses: A small number (up to about fifty) of galaxies that are near each other.
topics: chemistry
natural-sciences
physical-sciences
glosses: A column in the periodic table of chemical elements.
examples: text: Nitro is an electron-withdrawing group.
topics: chemistry
natural-sciences
physical-sciences
glosses: A functional group.
topics: human-sciences
sciences
social-science
sociology
glosses: A subset of a culture or of a society.
topics: government
military
politics
war
glosses: An air force formation.
topics: geography
geology
natural-sciences
glosses: A collection of formations or rock strata.
topics: computing
engineering
mathematics
natural-sciences
physical-sciences
sciences
glosses: A number of users with the same rights with respect to accession, modification, and execution of files, computers and peripherals.
glosses: An element of an espresso machine from which hot water pours into the portafilter.
topics: entertainment
lifestyle
music
glosses: A number of eighth, sixteenth, etc., notes joined at the stems; sometimes rather indefinitely applied to any ornament made up of a few short notes.
examples: text: It is the third of eight matches that Spain will play in Group I, but the coach Vicente del Bosque has described it as being more akin to the first leg of a cup semi-final.
ref: 2012 October 15, Sid Lowe, “Spain aim to take 'very big step' towards 2014 World Cup against France”, in The Guardian:
topics: hobbies
lifestyle
sports
glosses: A set of teams playing each other in the same division, while not during the same period playing any teams that belong to other sets in the division.
topics: business
glosses: A commercial organization.
Synonyms: sense: number of things or persons being in some relation to each other
word: collection
sense: number of things or persons being in some relation to each other
word: set
sense: people who perform music together
word: band
sense: people who perform music together
word: ensemble
word: group
Hypernyms: sense: in group theory
word: monoid
Hyponyms: word: Abelian group
word: affinity group
word: battalion tactical group
word: Bianchi group
word: book discussion group
word: book group
word: boy group
word: Einsatz group
word: encounter group
word: factor group
word: free group
word: fundamental group
word: general linear group
word: girl group
word: informal group
word: kinematic group
word: Kleinian group
word: Lie group
word: Local Group
word: minority group
word: moving group
word: p-group
word: play group
word: pop group
word: quotient group
word: rap group
word: reading group
word: silica group
word: simple group
word: status group
word: subgroup
word: sub-group
word: task group
word: technical group
word: total group
word: tour group
word: triangle group
word: Tuesday Group
word: von Dyck group
word: we-group
word: youth group
word: set
word: collection
word: ensemble
word: cluster
word: bunch
word: clump
word: aggregate
word: assemblage
word: assortment
word: array
word: hodgepodge
word: agglomerate
word: conglomerate
word: society
word: family
word: tribe
word: nation
word: band
word: clan
word: clique
word: organization
word: class
word: squad
word: retinue
word: cohort
word: platoon
word: battalion
word: brigade
word: division
word: troop
word: army
word: herd
word: flock
word: mob
word: pride
word: gaggle
word: horde
word: host
word: legion
word: litter
word: nest
word: rabble
word: swarm
word: throng
word: wake
word: forest
word: archipelago
word: galaxy
word: duo
word: trio
word: quartet
word: quintet
word: hexad
word: heptad
word: octad
word: nonad
word: decad
word: polyad
word: bulk
word: job lot
word: lot
Meronyms: word: animal
word: en masse
word: entity
word: part
word: person
word: thing
Derived terms: sense: some unsorted (may also be hyponyms)
word: abelian group
sense: some unsorted (may also be hyponyms)
word: ABO group
sense: some unsorted (may also be hyponyms)
word: action group
sense: some unsorted (may also be hyponyms)
word: activity group psychotherapy
sense: some unsorted (may also be hyponyms)
word: additive group
sense: some unsorted (may also be hyponyms)
word: advocacy group
sense: some unsorted (may also be hyponyms)
word: affine group
sense: some unsorted (may also be hyponyms)
word: age group
sense: some unsorted (may also be hyponyms)
word: airgroup
sense: some unsorted (may also be hyponyms)
word: algebraic fundamental group
sense: some unsorted (may also be hyponyms)
word: algebraic group
sense: some unsorted (may also be hyponyms)
word: allogroup
sense: some unsorted (may also be hyponyms)
word: alternating group
sense: some unsorted (may also be hyponyms)
word: automorphism group
sense: some unsorted (may also be hyponyms)
word: baby monster group
sense: some unsorted (may also be hyponyms)
word: battlegroup
sense: some unsorted (may also be hyponyms)
word: biogroup
sense: some unsorted (may also be hyponyms)
word: block group
sense: some unsorted (may also be hyponyms)
word: blood group
sense: some unsorted (may also be hyponyms)
word: boron group
sense: some unsorted (may also be hyponyms)
word: boundary group
sense: some unsorted (may also be hyponyms)
word: braid group
sense: some unsorted (may also be hyponyms)
word: Brauer group
sense: some unsorted (may also be hyponyms)
word: breakout group
sense: some unsorted (may also be hyponyms)
word: campaign group
sense: some unsorted (may also be hyponyms)
word: capturing group
sense: some unsorted (may also be hyponyms)
word: carbon group
sense: some unsorted (may also be hyponyms)
word: cell group
sense: some unsorted (may also be hyponyms)
word: chain group
sense: some unsorted (may also be hyponyms)
word: chat group
sense: some unsorted (may also be hyponyms)
word: chatgroup
sense: some unsorted (may also be hyponyms)
word: Chow group
sense: some unsorted (may also be hyponyms)
word: chromium group
sense: some unsorted (may also be hyponyms)
word: circle group
sense: some unsorted (may also be hyponyms)
word: codegroup
sense: some unsorted (may also be hyponyms)
word: cogroup
sense: some unsorted (may also be hyponyms)
word: community group
sense: some unsorted (may also be hyponyms)
word: commutative group
sense: some unsorted (may also be hyponyms)
word: control group
sense: some unsorted (may also be hyponyms)
word: copper group
sense: some unsorted (may also be hyponyms)
word: Coxeter group
sense: some unsorted (may also be hyponyms)
word: Cremona group
sense: some unsorted (may also be hyponyms)
word: crown group
sense: some unsorted (may also be hyponyms)
word: cultigroup
sense: some unsorted (may also be hyponyms)
word: cybergroup
sense: some unsorted (may also be hyponyms)
word: cycle group
sense: some unsorted (may also be hyponyms)
word: cyclic group
sense: some unsorted (may also be hyponyms)
word: Dakota group
sense: some unsorted (may also be hyponyms)
word: degroup
sense: some unsorted (may also be hyponyms)
word: demogroup
sense: some unsorted (may also be hyponyms)
word: demo group
sense: some unsorted (may also be hyponyms)
word: derived group
sense: some unsorted (may also be hyponyms)
word: descent group
sense: some unsorted (may also be hyponyms)
word: dihedral group
sense: some unsorted (may also be hyponyms)
word: ecogroup
sense: some unsorted (may also be hyponyms)
word: e-group
sense: some unsorted (may also be hyponyms)
word: ethnic group
sense: some unsorted (may also be hyponyms)
word: Euclidean group
sense: some unsorted (may also be hyponyms)
word: Eurogroup
sense: some unsorted (may also be hyponyms)
word: filegroup
sense: some unsorted (may also be hyponyms)
word: flying saucer group
sense: some unsorted (may also be hyponyms)
word: focus group
sense: some unsorted (may also be hyponyms)
word: focus-group
sense: some unsorted (may also be hyponyms)
word: foregroup
sense: some unsorted (may also be hyponyms)
word: free abelian group
sense: some unsorted (may also be hyponyms)
word: friend group
sense: some unsorted (may also be hyponyms)
word: frieze group
sense: some unsorted (may also be hyponyms)
word: front group
sense: some unsorted (may also be hyponyms)
word: Fuchsian group
sense: some unsorted (may also be hyponyms)
word: galaxy group
sense: some unsorted (may also be hyponyms)
word: Galois group
sense: some unsorted (may also be hyponyms)
word: genogroup
sense: some unsorted (may also be hyponyms)
word: ginger group
sense: some unsorted (may also be hyponyms)
word: grelfie
sense: some unsorted (may also be hyponyms)
word: Grothendieck group
sense: some unsorted (may also be hyponyms)
word: group action
sense: some unsorted (may also be hyponyms)
word: groupage
sense: some unsorted (may also be hyponyms)
word: groupality
sense: some unsorted (may also be hyponyms)
word: group box
sense: some unsorted (may also be hyponyms)
word: group buying
sense: some unsorted (may also be hyponyms)
word: group captain
sense: some unsorted (may also be hyponyms)
word: groupcast
sense: some unsorted (may also be hyponyms)
word: groupcentric
sense: some unsorted (may also be hyponyms)
word: group certificate
sense: some unsorted (may also be hyponyms)
word: group chat
sense: some unsorted (may also be hyponyms)
word: group dynamics
sense: some unsorted (may also be hyponyms)
word: group functor
sense: some unsorted (may also be hyponyms)
word: group home
sense: some unsorted (may also be hyponyms)
word: group homomorphism
sense: some unsorted (may also be hyponyms)
word: group hug
sense: some unsorted (may also be hyponyms)
word: groupie
sense: some unsorted (may also be hyponyms)
word: groupification
sense: some unsorted (may also be hyponyms)
word: groupify
sense: some unsorted (may also be hyponyms)
word: groupish
sense: some unsorted (may also be hyponyms)
word: groupism
sense: some unsorted (may also be hyponyms)
word: group isomorphism
sense: some unsorted (may also be hyponyms)
word: groupist
sense: some unsorted (may also be hyponyms)
word: group leader
sense: some unsorted (may also be hyponyms)
word: grouplet
sense: some unsorted (may also be hyponyms)
word: grouplike
sense: some unsorted (may also be hyponyms)
word: group marriage
sense: some unsorted (may also be hyponyms)
word: groupmate
sense: some unsorted (may also be hyponyms)
word: groupmind
sense: some unsorted (may also be hyponyms)
word: groupness
sense: some unsorted (may also be hyponyms)
word: groupo
sense: some unsorted (may also be hyponyms)
word: group object
sense: some unsorted (may also be hyponyms)
word: group of death
sense: some unsorted (may also be hyponyms)
word: group of Lie type
sense: some unsorted (may also be hyponyms)
word: groupoid
sense: some unsorted (may also be hyponyms)
word: group operation
sense: some unsorted (may also be hyponyms)
word: group photo
sense: some unsorted (may also be hyponyms)
word: group punishment
sense: some unsorted (may also be hyponyms)
word: group representation
sense: some unsorted (may also be hyponyms)
word: group representation constituency
sense: some unsorted (may also be hyponyms)
word: group ring
sense: some unsorted (may also be hyponyms)
word: group scheme
sense: some unsorted (may also be hyponyms)
word: group selection
sense: some unsorted (may also be hyponyms)
word: groupset
sense: some unsorted (may also be hyponyms)
word: group sex
sense: some unsorted (may also be hyponyms)
word: groupspeak
sense: some unsorted (may also be hyponyms)
word: group-specific antigen
sense: some unsorted (may also be hyponyms)
word: group stage
sense: some unsorted (may also be hyponyms)
word: group theoretic
sense: some unsorted (may also be hyponyms)
word: group-theoretic
sense: some unsorted (may also be hyponyms)
word: group theoretical
sense: some unsorted (may also be hyponyms)
word: group theoretician
sense: some unsorted (may also be hyponyms)
word: group theorist
sense: some unsorted (may also be hyponyms)
word: group theory
sense: some unsorted (may also be hyponyms)
word: group therapy
sense: some unsorted (may also be hyponyms)
word: groupthink
sense: some unsorted (may also be hyponyms)
word: group-think
sense: some unsorted (may also be hyponyms)
word: groupthinker
sense: some unsorted (may also be hyponyms)
word: group-thinking
sense: some unsorted (may also be hyponyms)
word: group velocity
sense: some unsorted (may also be hyponyms)
word: groupware
sense: some unsorted (may also be hyponyms)
word: groupwide
sense: some unsorted (may also be hyponyms)
word: groupwise
sense: some unsorted (may also be hyponyms)
word: groupwork
sense: some unsorted (may also be hyponyms)
word: groupy
sense: some unsorted (may also be hyponyms)
word: grundle
sense: some unsorted (may also be hyponyms)
word: gyrogroup
sense: some unsorted (may also be hyponyms)
word: haplogroup
sense: some unsorted (may also be hyponyms)
word: hate group
sense: some unsorted (may also be hyponyms)
word: head group
sense: some unsorted (may also be hyponyms)
word: headgroup
sense: some unsorted (may also be hyponyms)
word: Heisenberg group
sense: some unsorted (may also be hyponyms)
word: Hickson compact group
sense: some unsorted (may also be hyponyms)
word: homegroup
sense: some unsorted (may also be hyponyms)
word: homology group
sense: some unsorted (may also be hyponyms)
word: hypergroup
sense: some unsorted (may also be hyponyms)
word: income group
sense: some unsorted (may also be hyponyms)
word: in-group
sense: some unsorted (may also be hyponyms)
word: ingroup
sense: some unsorted (may also be hyponyms)
word: interest group
sense: some unsorted (may also be hyponyms)
word: intergroup
sense: some unsorted (may also be hyponyms)
word: intragroup
sense: some unsorted (may also be hyponyms)
word: iron group
sense: some unsorted (may also be hyponyms)
word: isogroup
sense: some unsorted (may also be hyponyms)
word: lamplighter group
sense: some unsorted (may also be hyponyms)
word: large group awareness training
sense: some unsorted (may also be hyponyms)
word: large-group awareness training
sense: some unsorted (may also be hyponyms)
word: large quasar group
sense: some unsorted (may also be hyponyms)
word: laughing group
sense: some unsorted (may also be hyponyms)
word: leaving group
sense: some unsorted (may also be hyponyms)
word: linear algebraic group
sense: some unsorted (may also be hyponyms)
word: linear group
sense: some unsorted (may also be hyponyms)
word: living room group
sense: some unsorted (may also be hyponyms)
word: lobby group
sense: some unsorted (may also be hyponyms)
word: locally compact group
sense: some unsorted (may also be hyponyms)
word: Lorentz group
sense: some unsorted (may also be hyponyms)
word: macrogroup
sense: some unsorted (may also be hyponyms)
word: main group
sense: some unsorted (may also be hyponyms)
word: main group element
sense: some unsorted (may also be hyponyms)
word: manganese group
sense: some unsorted (may also be hyponyms)
word: mapping class group
sense: some unsorted (may also be hyponyms)
word: Markush group
sense: some unsorted (may also be hyponyms)
word: mastergroup
sense: some unsorted (may also be hyponyms)
word: matrix group
sense: some unsorted (may also be hyponyms)
word: megagroup
sense: some unsorted (may also be hyponyms)
word: metagroup
sense: some unsorted (may also be hyponyms)
word: misgroup
sense: some unsorted (may also be hyponyms)
word: Möbius group
sense: some unsorted (may also be hyponyms)
word: monogenous group
sense: some unsorted (may also be hyponyms)
word: monophyletic group
sense: some unsorted (may also be hyponyms)
word: monster group
sense: some unsorted (may also be hyponyms)
word: Monster group
sense: some unsorted (may also be hyponyms)
word: multigroup
sense: some unsorted (may also be hyponyms)
word: music group
sense: some unsorted (may also be hyponyms)
word: neighbouring group
sense: some unsorted (may also be hyponyms)
word: neighbouring group participation
sense: some unsorted (may also be hyponyms)
word: newgroup
sense: some unsorted (may also be hyponyms)
word: newsgroup
sense: some unsorted (may also be hyponyms)
word: non-capturing group
sense: some unsorted (may also be hyponyms)
word: nongroup
sense: some unsorted (may also be hyponyms)
word: Nottingham group
sense: some unsorted (may also be hyponyms)
word: orthogonal group
sense: some unsorted (may also be hyponyms)
word: orthogroup
sense: some unsorted (may also be hyponyms)
word: out-group
sense: some unsorted (may also be hyponyms)
word: outgroup
sense: some unsorted (may also be hyponyms)
word: overgroup
sense: some unsorted (may also be hyponyms)
word: paragroup
sense: some unsorted (may also be hyponyms)
word: paratopological group
sense: some unsorted (may also be hyponyms)
word: pathogroup
sense: some unsorted (may also be hyponyms)
word: peer group
sense: some unsorted (may also be hyponyms)
word: permutation group
sense: some unsorted (may also be hyponyms)
word: phenogroup
sense: some unsorted (may also be hyponyms)
word: phylogroup
sense: some unsorted (may also be hyponyms)
word: platinum group
sense: some unsorted (may also be hyponyms)
word: playgroup
sense: some unsorted (may also be hyponyms)
word: point group
sense: some unsorted (may also be hyponyms)
word: pressure group
sense: some unsorted (may also be hyponyms)
word: profinite group
sense: some unsorted (may also be hyponyms)
word: prosthetic group
sense: some unsorted (may also be hyponyms)
word: protecting group
sense: some unsorted (may also be hyponyms)
word: protogroup
sense: some unsorted (may also be hyponyms)
word: pseudogroup
sense: some unsorted (may also be hyponyms)
word: quasigroup
sense: some unsorted (may also be hyponyms)
word: ratepayers group
sense: some unsorted (may also be hyponyms)
word: Ree group
sense: some unsorted (may also be hyponyms)
word: re-group
sense: some unsorted (may also be hyponyms)
word: renormalization group
sense: some unsorted (may also be hyponyms)
word: rock group
sense: some unsorted (may also be hyponyms)
word: scandium group
sense: some unsorted (may also be hyponyms)
word: Selmer group
sense: some unsorted (may also be hyponyms)
word: semigroup
sense: some unsorted (may also be hyponyms)
word: serogroup
sense: some unsorted (may also be hyponyms)
word: sidegroup
sense: some unsorted (may also be hyponyms)
word: silica group
sense: some unsorted (may also be hyponyms)
word: skin group
sense: some unsorted (may also be hyponyms)
word: skin-group
sense: some unsorted (may also be hyponyms)
word: social group
sense: some unsorted (may also be hyponyms)
word: solvable group
sense: some unsorted (may also be hyponyms)
word: space group
sense: some unsorted (may also be hyponyms)
word: special interest group
sense: some unsorted (may also be hyponyms)
word: special linear group
sense: some unsorted (may also be hyponyms)
word: special unitary group
sense: some unsorted (may also be hyponyms)
word: splinter group
sense: some unsorted (may also be hyponyms)
word: sporadic group
sense: some unsorted (may also be hyponyms)
word: steering group
sense: some unsorted (may also be hyponyms)
word: stem group
sense: some unsorted (may also be hyponyms)
word: study group
sense: some unsorted (may also be hyponyms)
word: subgroup
sense: some unsorted (may also be hyponyms)
word: supergroup
sense: some unsorted (may also be hyponyms)
word: support group
sense: some unsorted (may also be hyponyms)
word: surjunctive group
sense: some unsorted (may also be hyponyms)
word: Suzuki group
sense: some unsorted (may also be hyponyms)
word: symbol group
sense: some unsorted (may also be hyponyms)
word: symmetric group
sense: some unsorted (may also be hyponyms)
word: symmetry group
sense: some unsorted (may also be hyponyms)
word: symplectic group
sense: some unsorted (may also be hyponyms)
word: tag group
sense: some unsorted (may also be hyponyms)
word: tailgroup
sense: some unsorted (may also be hyponyms)
word: talkgroup
sense: some unsorted (may also be hyponyms)
word: target group
sense: some unsorted (may also be hyponyms)
word: T-group
sense: some unsorted (may also be hyponyms)
word: titanium group
sense: some unsorted (may also be hyponyms)
word: Tits group
sense: some unsorted (may also be hyponyms)
word: topological group
sense: some unsorted (may also be hyponyms)
word: trivial group
sense: some unsorted (may also be hyponyms)
word: ungroup
sense: some unsorted (may also be hyponyms)
word: unitary group
sense: some unsorted (may also be hyponyms)
word: user group
sense: some unsorted (may also be hyponyms)
word: vanadium group
sense: some unsorted (may also be hyponyms)
word: wallpaper group
sense: some unsorted (may also be hyponyms)
word: Weyl group
sense: some unsorted (may also be hyponyms)
word: Witt group
sense: some unsorted (may also be hyponyms)
word: workgroup
sense: some unsorted (may also be hyponyms)
word: working group
sense: some unsorted (may also be hyponyms)
word: yeargroup
sense: some unsorted (may also be hyponyms)
word: year-group
sense: some unsorted (may also be hyponyms)
word: zinc group