group
Part of speech: noun
verb
Morphological type: simple
Topics: astronomy
business
chemistry
computing
engineering
entertainment
geography
geology
geometry
government
group-theory
hobbies
human-sciences
lifestyle
mathematics
military
music
natural-sciences
physical-sciences
politics
sciences
social-science
sociology
sports
war
Etymology: Etymology tree
Proto-Indo-European *grewbʰ-der.
Proto-Germanic *kruppazder.
Frankish *kruppbor.
Vulgar Latin *cruppus
Italian gruppobor.
French groupebor.
▲
Italian gruppobor.
English group
From French groupe (“cluster, group”), from Italian gruppo, groppo (“a knot, heap, group, bag (of money)”).
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.
Inflected forms:
form: groups
pos: noun
tags: plural
form: groop
pos: noun
tags: alternative
form: groupe
pos: noun
tags: alternative
form: groups
pos: verb
tags: present
singular
third-person
form: grouping
pos: verb
tags: participle
present
form: grouped
pos: verb
tags: participle
past
form: grouped
pos: verb
tags: past
form: groop
pos: verb
tags: alternative
form: groupe
pos: verb
tags: alternative
Senses:
gloss: A number of things or persons being in some relation to one another.
pos: noun
examples: 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.
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.
there is a group of houses behind the hill; he left town to join a Communist group
A group of people is/are gathering in front of the Parliament to demonstrate against the Prime Minister's proposals.
gloss: A set with an associative binary operation, under which there exists an identity element, and such that each element has an inverse.
pos: noun
examples: Throughout this section, we shall assume the existence of finitely presented groups with unsolvable word problem.
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).
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).
gloss: An effective divisor on a curve.
pos: noun
tags: archaic
gloss: A (usually small) group of people who perform music together.
pos: noun
examples: Did you see the new jazz group?
gloss: A small number (up to about fifty) of galaxies that are near each other.
pos: noun
gloss: A column in the periodic table of chemical elements.
pos: noun
gloss: A functional group.
pos: noun
examples: Nitro is an electron-withdrawing group.
gloss: A subset of a culture or of a society.
pos: noun
gloss: An air force formation.
pos: noun
gloss: A collection of formations or rock strata.
pos: noun
gloss: A number of users with the same rights with respect to accession, modification, and execution of files, computers and peripherals.
pos: noun
gloss: An element of an espresso machine from which hot water pours into the portafilter.
pos: noun
gloss: 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.
pos: noun
gloss: 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.
pos: noun
examples: 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.
gloss: A commercial organization.
pos: noun
gloss: Group therapy.
pos: noun
tags: uncountable
examples: Aside from occasional moments of belligerence, he was a pretty affable guy. I rather liked him and, I guess, wanted him to like me. But his affability also included the odd "faggot" joke, which left me dubious over talking with him about being gay, even in "group."
gloss: To put together to form a group.
pos: verb
tags: transitive
examples: group the dogs by hair colour
gloss: To come together to form a group.
pos: verb
tags: intransitive
examples: For many people forming pods last year, finding compatible people to group with was not a cost but a goal.
gloss: To eliminate in the group stage of a competition.
pos: verb
tags: transitive
examples: Clubs like Real Sociedad are getting grouped in the Europa League. Even clubs like Atletico Madrid and Villareal are finding it hard to progress to the R16 in the UCL.
Synonyms: group
categorise
categorize
classify
collect
collect up
gather
gather together
gather up
begather
foregather
throng
Antonyms: individual
monad
union
unity
Derived words: abelian group
ABO group
action group
activity group psychotherapy
additive group
advocacy group
affine group
age group
airgroup
algebraic fundamental group
algebraic group
allogroup
alternating group
automorphism group
baby monster group
battlegroup
biogroup
block group
blood group
boron group
boundary group
braid group
Brauer group
breakout group
campaign group
capturing group
carbon group
cell group
chain group
chatgroup
chat group
Chow group
chromium group
circle group
codegroup
cogroup
community group
commutative group
concern group
control group
copper group
Coxeter group
Cremona group
crown group
cultigroup
cybergroup
cycle group
cyclic group
Dakota group
degroup
demogroup
demo group
derived group
descent group
dihedral group
ecogroup
e-group
ethnic group
Euclidean group
Eurogroup
filegroup
flying saucer group
focus-group
focus group
foregroup
free abelian group
friend group
frieze group
front group
Fuchsian group
galaxy group
Galois group
genogroup
ginger group
grelfie
Grothendieck group
group action
groupage
groupality
group box
group buying
group captain
groupcast
groupcentric
group certificate
group chat
group dynamics
group functor
group home
group homomorphism
group hug
groupie
groupification
groupify
groupish
groupism
group isomorphism
groupist
group leader
grouplet
grouplike
group marriage
groupmate
groupmind
groupness
groupo
group object
group of death
group of Lie type
groupoid
group operation
group photo
group punishment
group representation
group representation constituency
group ring
group scheme
group selection
groupset
group sex
groupspeak
group-specific antigen
group stage
group theoretic
group-theoretic
group theoretical
group theoretician
group theorist
group theory
group therapist
group therapy
groupthink
group-think
groupthinker
group-thinking
group velocity
groupware
groupwide
groupwise
groupwork
groupy
grundle
gyrogroup
haplogroup
hate group
head group
headgroup
Heisenberg group
Hickson compact group
homegroup
homology group
hypergroup
income group
ingroup
in-group
interest group
intergroup
intragroup
iron group
isogroup
lamplighter group
large group awareness training
large-group awareness training
large quasar group
laughing group
leaving group
linear algebraic group
linear group
living room group
lobby group
locally compact group
Lorentz group
macrogroup
main group
main group element
manganese group
mapping class group
Markush group
mastergroup
matrix group
megagroup
metagroup
misgroup
Möbius group
monogenous group
monophyletic group
monster group
Monster group
multigroup
music group
neighbouring group
neighbouring group participation
newgroup
newsgroup
non-capturing group
nongroup
Nottingham group
orthogonal group
orthogroup
outgroup
out-group
overgroup
paragroup
paratopological group
pathogroup
peer group
permutation group
phenogroup
phylogroup
platinum group
playgroup
point group
pressure group
profinite group
prosthetic group
protecting group
protogroup
pseudogroup
quasigroup
ratepayers group
Ree group
re-group
renormalization group
rock group
scandium group
Selmer group
semigroup
serogroup
sidegroup
silica group
skin group
skin-group
social group
solvable group
space group
special interest group
special linear group
special unitary group
species group
splinter group
sporadic group
steering group
stem group
study group
subgroup
supergroup
support group
surjunctive group
Suzuki group
symbol group
symmetric group
symmetry group
symplectic group
tag group
tailgroup
talkgroup
target group
T-group
titanium group
Tits group
topological group
trivial group
ungroup
unitary group
user group
vanadium group
wallpaper group
Weyl group
Witt group
workgroup
working group
year-group
yeargroup
zinc group
groupable
Translations:
lang: Czech
word: skupina
lang: Finnish
word: ryhmä
lang: German
word: Benutzergruppe
lang: Serbo-Croatian
word: гру̏па
lang: Serbo-Croatian
word: grȕpa
lang: Swahili
word: makundi
lang: Swedish
word: grupp