Let be an abelian group consisting of the direct product of -times for . Let .

My question is this: if is an automorphism of then does extend to an automorphism of ? If not in general, what if is prime?

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- October 8th 2010, 02:12 AMSwlabrAutomorphism of a subgroup of an abelian group
Let be an abelian group consisting of the direct product of -times for . Let .

My question is this: if is an automorphism of then does extend to an automorphism of ? If not in general, what if is prime?