12. Let G be an arbitrary abelian group. Let H be the set of all elements of G that are equal to their own inverses: H =
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12. Let G be an arbitrary abelian group. Let H be the set of all elements of G that are equal to their own inverses: H =
12. Let G be an arbitrary abelian group. Let H be the set of all elements of G that are equal to their own inverses: H = {x E G | x = x x-1}. Prove that H is a subgroup of G.
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