Fixed points of endomorphisms of graph groups
Group Theory
2013-10-29 v1
Abstract
It is shown, for a given graph group , that the fixed point subgroup Fix is finitely generated for every endomorphism of if and only if is a free product of free abelian groups. The same conditions hold for the subgroup of periodic points. Similar results are obtained for automorphisms, if the dependence graph of is a transitive forest.
Cite
@article{arxiv.1210.4094,
title = {Fixed points of endomorphisms of graph groups},
author = {Emanuele Rodaro and Pedro V. Silva and Mihalis Sykiotis},
journal= {arXiv preprint arXiv:1210.4094},
year = {2013}
}
Comments
9 pages