Conjugacy growth of finitely generated groups

Details Conjugacy growth of finitely generated groups Conjugacy growth of finitely generated groups

2011-07-10

arxiv.org/abs/1107.1826v2

Mathematics

Group Theory

Scientific paper

We show that every non-decreasing function $f\colon \mathbb N\to \mathbb N$ bounded from above by $a^n$ for some $a\ge 1$ can be realized (up to a natural equivalence) as the conjugacy growth function of a finitely generated group. We also construct a finitely generated group $G$ and a subgroup $H\le G$ of index 2 such that $H$ has only 2 conjugacy classes while the conjugacy growth of $G$ is exponential. In particular, conjugacy growth is not a quasi-isometry invariant.

Affiliated with

Also associated with

No associations

Rating

Conjugacy growth of finitely generated groups 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 Conjugacy growth of finitely generated groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conjugacy growth of finitely generated groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-33501