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

James Howie

Research output: Contribution to journal › Article

Abstract

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.

Original languageEnglish
Pages (from-to)1-18
Number of pages18
JournalAlgebra and Discrete Mathematics
Volume15
Issue number1
Publication statusPublished - Jan 2013

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Howie, James. / Generalised triangle groups of type (3, q, 2). In: Algebra and Discrete Mathematics. 2013 ; Vol. 15, No. 1. pp. 1-18.
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Howie, J 2013, 'Generalised triangle groups of type (3, q, 2)', Algebra and Discrete Mathematics, vol. 15, no. 1, pp. 1-18.

Generalised triangle groups of type (3, q, 2). / Howie, James.

In: Algebra and Discrete Mathematics, Vol. 15, No. 1, 01.2013, p. 1-18.

Research output: Contribution to journal › Article

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AB - 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.

M3 - Article

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SP - 1

EP - 18

JO - Algebra and Discrete Mathematics

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SN - 1726-3255

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Howie J. Generalised triangle groups of type (3, q, 2). Algebra and Discrete Mathematics. 2013 Jan;15(1):1-18.