Generalised triangle groups of type (2,3,2) with no cyclic essential representations

James Howie; Alexander Konovalov

Generalised triangle groups of type (2,3,2) with no cyclic essential representations

Research output: Working paper

Abstract

A conjecture of Roseberger asserts that every generalised triangle group either is virtually soluble or contains a non-abelian free subgroup. Modulo two exceptional cases, we verify this conjecture for generalised triangle groups of type (2,3,2) which do not admit essential representations onto the cyclic group of order 6.

Original language	English
Publisher	arXiv
Number of pages	37
Volume	arXiv:1612.00242
Publication status	Published - 2016

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https://arxiv.org/pdf/1612.00242.pdf

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abstract = "A conjecture of Roseberger asserts that every generalised triangle group either is virtually soluble or contains a non-abelian free subgroup. Modulo two exceptional cases, we verify this conjecture for generalised triangle groups of type (2,3,2) which do not admit essential representations onto the cyclic group of order 6.",

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AB - A conjecture of Roseberger asserts that every generalised triangle group either is virtually soluble or contains a non-abelian free subgroup. Modulo two exceptional cases, we verify this conjecture for generalised triangle groups of type (2,3,2) which do not admit essential representations onto the cyclic group of order 6.

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BT - Generalised triangle groups of type (2,3,2) with no cyclic essential representations

PB - arXiv

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Generalised triangle groups of type (2,3,2) with no cyclic essential representations

Abstract

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CoDiMa: CoDiMa (CCP in the area of Computational Discrete Mathematics)

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Generalised triangle groups of type (2,3,2) with no cyclic essential representations

Abstract

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CoDiMa: CoDiMa (CCP in the area of Computational Discrete Mathematics)

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