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On the Tits alternative for some generalized triangle groups

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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Main Authors: Beniash-Kryvets, Valery, Barkovich, Oxana
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Tits alternative
generalized triangle group
free subgroup
20E06
20E07
20H10
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/988
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spelling 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
first_indexed 2024-04-12T06:25:31Z
last_indexed 2024-04-12T06:25:31Z
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