Generalised triangle groups of type (3,3,2)
Group Theory
2010-12-14 v1
Abstract
If G is a group with a presentation of the form < x,y|x^3=y^3=W(x,y)^2=1 >, then either G is virtually soluble or G contains a free subgroup of rank 2. This provides additional evidence in favour of a conjecture of Rosenberger.
Cite
@article{arxiv.1012.2763,
title = {Generalised triangle groups of type (3,3,2)},
author = {James Howie},
journal= {arXiv preprint arXiv:1012.2763},
year = {2010}
}
Comments
19 pages, 4 figures, 2 tables, GAP code listing attached