(a) Let H be the cyclic subgroup (of order 2) of S 3 generated by Then no...

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(a) Let H be the cyclic subgroup (of order 2) of S3 generated byThen no left coset of H (except H itself) is also a right coset. There exists a ϵ S3 such that aH ∩ Ha= {a}.

(b) If K is the cyclic subgroup (of order 3) of S3 generated bythen every left coset of K is also a right coset of K.

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