Actions of maximal growth of hyperbolic groups

Details Actions of maximal growth of hyperbolic groups Actions of maximal growth of hyperbolic groups

2012-01-06

arxiv.org/abs/1201.1349v2

Mathematics

Group Theory

19 pages, 2 figures

Scientific paper

We prove that every non-elementary hyperbolic group $G$ acts with maximal growth on some set $X$ such that every orbit of any element $g \in G$ is finite. As a side-product of our approach we prove that if $G$ is non-elementary hyperbolic, $\HH \leq G$ is quasiconvex of infinite index then there exists $g \in G$ such that $<\HH,g>$ is quasiconvex of infinite index and is isomorphic to $\HH*$ if and only if $\HH \cap E(G)= \{e\} $, where $E(G)$ is the maximal finite normal subgroup of $G$.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-661746