Is Z6 abelian or not?
We will classify groups of order 6. We know two such groups already, the cyclic group Z6, and the symmetric group S3. These groups cannot be isomorphic to each other since Z6 is cyclic, hence abelian, and S3 is not abelian.
We will classify groups of order 6. We know two such groups already, the cyclic group Z6, and the symmetric group S3. These groups cannot be isomorphic to each other since Z6 is cyclic, hence abelian, and S3 is not abelian.
