Symmetric groups and conjugacy classes

Details Symmetric groups and conjugacy classes Symmetric groups and conjugacy classes

2007-08-01

arxiv.org/abs/0708.0225v1

Mathematics

Group Theory

7 pages

Scientific paper

Let S_n be the symmetric group on n-letters. Fix n>5. Given any nontrivial $\alpha,\beta\in S_n$, we prove that the product $\alpha^{S_n}\beta^{S_n}$ of the conjugacy classes $\alpha^{S_n}$ and $\beta^{S_n}$ is never a conjugacy class. Furthermore, if n is not even and $n$ is not a multiple of three, then $\alpha^{S_n}\beta^{S_n}$ is the union of at least three distinct conjugacy classes. We also describe the elements $\alpha,\beta\in S_n$ in the case when $\alpha^{S_n}\beta^{S_n}$ is the union of exactly two distinct conjugacy classes.

Affiliated with

Also associated with

No associations

Rating

Symmetric groups and conjugacy classes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symmetric groups and conjugacy classes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetric groups and conjugacy classes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-244198