Generalised triangle groups of type (2,3,2) with no cyclic essential representations
Group Theory
2023-12-20 v2
Abstract
A conjecture of Roseberger asserts that every generalised triangle group either is virtually soluble or contains a non-abelian free subgroup. Modulo two exceptional cases, we verify this conjecture for generalised triangle groups of type (2,3,2) which do not admit essential representations onto the cyclic group of order 6.
Cite
@article{arxiv.1612.00242,
title = {Generalised triangle groups of type (2,3,2) with no cyclic essential representations},
author = {James Howie and Olexandr Konovalov},
journal= {arXiv preprint arXiv:1612.00242},
year = {2023}
}
Comments
37 pages, 12 figures, 3 tables, 3 appendices