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Algebra and Discrete Mathematics, 2013, Volume 15, Issue 1, Pages 1–18
(Mi adm407)
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This article is cited in 1 scientific paper (total in 1 paper)
RESEARCH ARTICLE
Generalised triangle groups of type $\mathbf{(3,q,2)}$
J. Howie Department of Mathematics and Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, UK
Abstract:
If $G$ is a group with a presentation of the form $\langle x,y|x^3=y^q=W(x,y)^2=1\rangle$, 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:
Generalized triangle groups, Tits alternative.
Received: 03.05.2012 Revised: 20.06.2012
Citation:
J. Howie, “Generalised triangle groups of type $\mathbf{(3,q,2)}$”, Algebra Discrete Math., 15:1 (2013), 1–18
Linking options:
https://www.mathnet.ru/eng/adm407 https://www.mathnet.ru/eng/adm/v15/i1/p1
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Abstract page: | 132 | Full-text PDF : | 65 | References: | 38 |
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