1) prove that H is a subgroup of S5 (the permutation group of 5 elements). every element x in H is of the form x(1)=1 and x(3)=3, meaning x moves 1 to 1 and moves 3 to 3. does your argument work hen 5 is replaced by a number greater than or equal to 3?(adsbygoogle = window.adsbygoogle || []).push({});

2) Let G be a group. prove or disprove that H={g^2:g is an element of H} is a subgroup.

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# Homework Help: Abstract Algebra help needed

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