Question: H = {e, (13)} is a subgroup of S3 = {e, (12), (13), (23), (123), (132)}. (a) List the distinct left cosets of H.

H = {e, (13)} is a subgroup of S3 = {e, (12),

H = {e, (13)} is a subgroup of S3 = {e, (12), (13), (23), (123), (132)}. (a) List the distinct left cosets of H. (b) Are the right cosets of H the same?

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