Finite index subgroups without unique product in graphical small cancellation groups
Group Theory
2017-05-17 v1
Abstract
We construct torsion-free hyperbolic groups without unique product whose subgroups up to some given finite index are themselves non-unique product groups. This is achieved by generalising a construction of Comerford to graphical small cancellation presentations, showing that for every subgroup of a graphical small cancellation group there exists a free group such that admits a graphical small cancellation presentation.
Cite
@article{arxiv.1407.6850,
title = {Finite index subgroups without unique product in graphical small cancellation groups},
author = {Dominik Gruber and Alexandre Martin and Markus Steenbock},
journal= {arXiv preprint arXiv:1407.6850},
year = {2017}
}
Comments
8 pages, 1 figure