English

Generalised triangle groups of type (3,5,2)

Group Theory 2011-02-11 v1

Abstract

If G is a group with a presentation of the form < x,y|x^3=y^5=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.

Keywords

Cite

@article{arxiv.1102.2073,
  title  = {Generalised triangle groups of type (3,5,2)},
  author = {James Howie},
  journal= {arXiv preprint arXiv:1102.2073},
  year   = {2011}
}

Comments

7 pages

R2 v1 2026-06-21T17:24:20.327Z