H is subgroup of Sn for some integer n>1

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H is subgroup of Sn for some integer n>1

H is subgroup of S_nfor some integer n>1. If H contains an odd permutations, show that the set of all even permutations in H form a normal subgroup of H of index 2.

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H is subgroup of Sn for some integer n>1

H is subgroup of Sn for some integer n>1

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