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Isomorphic : Noncyclic Group Order 4

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Let V be a noncyclic group of order 4. (We know that all such groups are isomorphic, one is given in example 2.96). How large is Aut(V)? To which familiar group is Aut(V) isomorphic?

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Solution Summary

A noncyclic group order 4 is investigated and discussed. The solution is detailed and well presented.

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Proof:
Since V is noncyclic with order 4, then V has a unique structure V={e,a,b,ab} and V is an abelian group. For ...

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