subgroup

views updated Jun 11 2018

sub·group / ˈsəbˌgroōp/ • n. a subdivision of a group. ∎ Math. a group whose members are all members of another group, both being subject to the same operations.

The Oxford Pocket Dictionary of Current English

subgroup

views updated May 21 2018

subgroup A subset T of a group G on which the dyadic operation ◦ is defined; T contains the identity, e, of G, the inverse x^–1 for any x in T, and the quantity x ◦ y for any x and y in T. For any group G the set consisting of e alone is a subgroup; so also is the group G itself. All other subgroups are proper subgroups of G.

A Dictionary of Computing JOHN DAINTITH

subgroup

views updated May 08 2018

subgroup A term that may be used for formal identification of a distinct and defined assemblage of formations within an already named group whose name is in use.

A Dictionary of Earth Sciences AILSA ALLABY and MICHAEL ALLABY