subgroup

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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.

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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.

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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.

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subgroupbloop, cock-a-hoop, coop, croup, droop, drupe, dupe, goop, group, Guadeloupe, hoop, loop, poop, recoup, roup, scoop, sloop, snoop, soup, stoep, stoop, stoup, stupe, swoop, troop, troupe, whoop •hula-hoop • cantaloupe • nincompoop •playgroup • subgroup • peer group

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