Non Hyperbolic Free-By-Cyclic and One-Relator Groups
Group Theory
2015-03-09 v1 Geometric Topology
Abstract
We show that the free-by-cyclic groups of the form F(2)-by-Z act properly cocompactly on CAT(0) square complexes. We also show using generalised Baumslag-Solitar groups that all known groups defined by a 2-generator 1-relator presentation are either SQ-universal or are cyclic or isomorphic to BS(1,j). Finally we consider free-by-cyclic groups which are not relatively hyperbolic with respect to any collection of subgroups.
Cite
@article{arxiv.1503.01989,
title = {Non Hyperbolic Free-By-Cyclic and One-Relator Groups},
author = {Jack Button and Robert Kropholler},
journal= {arXiv preprint arXiv:1503.01989},
year = {2015}
}
Comments
33 pages, 7 figures