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

James Howie

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

James Howie

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

If G is a group with a presentation of the form

< x,y | x³ = y^q = 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 language	English
Pages (from-to)	1-18
Number of pages	18
Journal	Algebra and Discrete Mathematics
Volume	15
Issue number	1
Publication status	Published - Jan 2013

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title = "Generalised triangle groups of type (3, q, 2)",

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.",

author = "James Howie",

year = "2013",

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language = "English",

volume = "15",

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journal = "Algebra and Discrete Mathematics",

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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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JO - Algebra and Discrete Mathematics

JF - Algebra and Discrete Mathematics

SN - 1726-3255

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