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

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.

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Bibliographic Details
Date:2013
Main Author: Howie, J.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2013
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/152259
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine