### Abstract

If G is a group with a presentation of the form

< x,y | x^{3} = 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 |
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Pages (from-to) | 1-18 |

Number of pages | 18 |

Journal | Algebra and Discrete Mathematics |

Volume | 15 |

Issue number | 1 |

Publication status | Published - Jan 2013 |

## Fingerprint Dive into the research topics of 'Generalised triangle groups of type (3, q, 2)'. Together they form a unique fingerprint.

## Cite this

Howie, J. (2013). Generalised triangle groups of type (3, q, 2).

*Algebra and Discrete Mathematics*,*15*(1), 1-18.