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

• Published in: Algebra and Discrete Mathematics
• Date: 2013
• Main Author: Howie, J.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152259
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Generalised triangle groups of type (3, q, 2) / J. Howie // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — С. 1–18. — Бібліогр.: 22 назв. — англ.

If G is a group with a presentation of the form ⟨x, y|x³ = yq = 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.