Hi all.

FollowingNonCommAlg’s example, I have decided to post a fun algebra (group theory) problem of my own on this forum.

Let where is an abelian group and is a cyclic group of order 2, and suppose contains an element with Find a binary operation on such that is a nonabelian group.

ToNonCommAlg: If you know the answer to this one (and I have a feeling you do) please don’t be too quick to reveal the answer. Let others have a chance to do the problem first.