A Proof that Thompson's Groups have Infinitely Many Relative Ends
Group Theory
2007-08-13 v1
Abstract
We show that each of Thompson's groups F, T, and V have infinitely many ends relative to certain subgroups. We go on to show that T and V both have Serre's property FA, i.e., any action of T or V on a tree will have a fixed point. (The proof of the latter statement was originally due to Ken Brown, and our proof is based on his notes.)
Keywords
Cite
@article{arxiv.0708.1334,
title = {A Proof that Thompson's Groups have Infinitely Many Relative Ends},
author = {Daniel Farley},
journal= {arXiv preprint arXiv:0708.1334},
year = {2007}
}
Comments
11 pages, 1 figure