In S_4, find a cyclic subgroup of order 4 and a non-cyclic one as well. Let a and b belong to S_n. Prove that bab^-1 and a are both even or both odd.
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Originally Posted by Juancd08 In S_4, find a cyclic subgroup of order 4 and a non-cyclic one as well. . And are such examples. Let a and b belong to S_n. Prove that bab^-1 and a are both even or both odd. Hint: If then .
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