Hyperbolic Groups with Finitely Presented Subgroups not of Type $F_3$
Group Theory
2018-08-30 v1
Abstract
We generalise the constructions of Brady and Lodha to give infinite families of hyperbolic groups, each having a finitely presented subgroup that is not of type . By calculating the Euler characteristic of the hyperbolic groups constructed, we prove that infinitely many of them are pairwise non isomorphic. We further show that the first of these constructions cannot be generalised to dimensions higher than .
Keywords
Cite
@article{arxiv.1808.09505,
title = {Hyperbolic Groups with Finitely Presented Subgroups not of Type $F_3$},
author = {Robert Kropholler and Giles Gardam},
journal= {arXiv preprint arXiv:1808.09505},
year = {2018}
}
Comments
Primary article written by Kropholler with an appendix by Gardam. 37 Pages and 8 figures