Subgroup test: Difference between revisions

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Revision as of 23:10, 28 October 2018

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{{Unreferenced|date=October 2018}}

In [[abstract algebra]], the one-step '''subgroup test''' is a theorem that states that for any group, a nonempty [[subset]] of that [[Group (mathematics)|group]] is itself a group if the inverse of any element in the subset multiplied with any other element in the subset is also in the subset. The two-step subgroup test is a similar theorem which requires the subset to be closed under the operation and taking of inverses.