Assertion: abelian group's element | /r/HasProperty | a of a group
Facets:
Source sentences:
text: The order of an element a of a group, sometimes also called the period length or period of a, is the smallest positive integer m such that am = e, where e denotes the identity element of the group, and am denotes the product of m copies of a.
text: Closure : When a group's operation puts together two elements, the element that is made must also be part of the group.
text: Here are some simple but useful commutator identities, true for any elements s, g, h of a group G:
text: Every element a of a group G generates the cyclic subgroup ⟨ a ⟩.
text: : When a group's operation puts together two elements, the element that is made must also be part of the group.