Subgroup test: Difference between revisions

Revision as of 10:07, 7 May 2012

Revision as of 02:27, 29 January 2014

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==One-step subgroup test==

Let <math>G

Let G</math> be a group and let <math>H</math> be a nonempty subset of <math>G</math>. If for all <math>a</math> and <math>b</math> in <math>H</math>, abb^-1 is in H, then H is a subgroup of G.

===Proof===