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

James Howie

Research output: Contribution to journalArticle

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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