The problem is to verify that {(1), (1 2), (3 4), (1 2)(3 4)} is an Abelian, noncyclic subgroup of S(adsbygoogle = window.adsbygoogle || []).push({}); _{4}.

I was able to show that it is Abelian through pairing the permutations, but my mind stopped at the noncyclic part. When showing that a group is cyclic or noncyclic, what exactly do I have to show?

**Physics Forums - The Fusion of Science and Community**

# Cyclic Groups

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

Have something to add?

- Similar discussions for: Cyclic Groups

Loading...

**Physics Forums - The Fusion of Science and Community**