### 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 |
---|---|

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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### Cite this

*Algebra and Discrete Mathematics*,

*15*(1), 1-18.

}

*Algebra and Discrete Mathematics*, vol. 15, no. 1, pp. 1-18.

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Generalised triangle groups of type (3, q, 2)

AU - Howie, James

PY - 2013/1

Y1 - 2013/1

N2 - 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.

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

VL - 15

SP - 1

EP - 18

JO - Algebra and Discrete Mathematics

JF - Algebra and Discrete Mathematics

SN - 1726-3255

IS - 1

ER -