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subgroup


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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.

Subjects: Computing.


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