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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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/730 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543358030184448 |
|---|---|
| author | Howie, James |
| author_facet | Howie, James |
| author_sort | Howie, James |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-26T00:47:27Z |
| description | 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. |
| first_indexed | 2026-02-08T08:01:57Z |
| format | Article |
| id | admjournalluguniveduua-article-730 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T08:01:57Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-7302018-04-26T00:47:27Z Generalised triangle groups of type \((3,q,2)\) Howie, James Generalized triangle groups, Tits alternative 20F05, 20F06, 20E05 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. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/730 Algebra and Discrete Mathematics; Vol 15, No 1 (2013) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/730/262 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | Generalized triangle groups Tits alternative 20F05 20F06 20E05 Howie, James Generalised triangle groups of type \((3,q,2)\) |
| title | Generalised triangle groups of type \((3,q,2)\) |
| title_full | Generalised triangle groups of type \((3,q,2)\) |
| title_fullStr | Generalised triangle groups of type \((3,q,2)\) |
| title_full_unstemmed | Generalised triangle groups of type \((3,q,2)\) |
| title_short | Generalised triangle groups of type \((3,q,2)\) |
| title_sort | generalised triangle groups of type \((3,q,2)\) |
| topic | Generalized triangle groups Tits alternative 20F05 20F06 20E05 |
| topic_facet | Generalized triangle groups Tits alternative 20F05 20F06 20E05 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/730 |
| work_keys_str_mv | AT howiejames generalisedtrianglegroupsoftype3q2 |