Generalised triangle groups of type \((3,q,2)\)
If \(G\) is a group with a presentation of the form \(\langle x,y|x^3=y^q=W(x,y)^2=1\rangle\), 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.
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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/730 |
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| Journal Title: | Algebra and Discrete Mathematics |