On the Tits alternative for some generalized triangle groups
One says that the Tits alternative holds for a finitely generated group \(\Gamma\) if \(\Gamma\) contains either a non abelian free subgroup or a solvable subgroup of finite index. Rosenberger states the conjecture that the Tits alternative holds for generalized triangle groups \(T(k,l,m,R)=\langle...
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| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/988 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-9882018-05-15T05:12:44Z On the Tits alternative for some generalized triangle groups Beniash-Kryvets, Valery Barkovich, Oxana Tits alternative, generalized triangle group, free subgroup 20E06, 20E07, 20H10 One says that the Tits alternative holds for a finitely generated group \(\Gamma\) if \(\Gamma\) contains either a non abelian free subgroup or a solvable subgroup of finite index. Rosenberger states the conjecture that the Tits alternative holds for generalized triangle groups \(T(k,l,m,R)=\langle a,b; a^k=b^l=R^m(a,b)=1\rangle\). In the paper Rosenberger's conjecture is proved for groups \(T(2,l,2,R)\) with \(l=6,12,30,60\) and some special groups \(T(3,4,2,R)\). Lugansk National Taras Shevchenko University 2018-05-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/988 Algebra and Discrete Mathematics; Vol 3, No 2 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/988/517 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
Tits alternative generalized triangle group free subgroup 20E06 20E07 20H10 |
| spellingShingle |
Tits alternative generalized triangle group free subgroup 20E06 20E07 20H10 Beniash-Kryvets, Valery Barkovich, Oxana On the Tits alternative for some generalized triangle groups |
| topic_facet |
Tits alternative generalized triangle group free subgroup 20E06 20E07 20H10 |
| format |
Article |
| author |
Beniash-Kryvets, Valery Barkovich, Oxana |
| author_facet |
Beniash-Kryvets, Valery Barkovich, Oxana |
| author_sort |
Beniash-Kryvets, Valery |
| title |
On the Tits alternative for some generalized triangle groups |
| title_short |
On the Tits alternative for some generalized triangle groups |
| title_full |
On the Tits alternative for some generalized triangle groups |
| title_fullStr |
On the Tits alternative for some generalized triangle groups |
| title_full_unstemmed |
On the Tits alternative for some generalized triangle groups |
| title_sort |
on the tits alternative for some generalized triangle groups |
| description |
One says that the Tits alternative holds for a finitely generated group \(\Gamma\) if \(\Gamma\) contains either a non abelian free subgroup or a solvable subgroup of finite index. Rosenberger states the conjecture that the Tits alternative holds for generalized triangle groups \(T(k,l,m,R)=\langle a,b; a^k=b^l=R^m(a,b)=1\rangle\). In the paper Rosenberger's conjecture is proved for groups \(T(2,l,2,R)\) with \(l=6,12,30,60\) and some special groups \(T(3,4,2,R)\). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/988 |
| work_keys_str_mv |
AT beniashkryvetsvalery onthetitsalternativeforsomegeneralizedtrianglegroups AT barkovichoxana onthetitsalternativeforsomegeneralizedtrianglegroups |
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2024-04-12T06:25:31Z |
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2024-04-12T06:25:31Z |
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1796109256917778432 |