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https://elib.bsu.by/handle/123456789/10872| Title: | On the Tits alternative for some generalized triangle groups |
| Authors: | Barkovich, Oksana Benyash-Krivets, Valery |
| Keywords: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика |
| Issue Date: | 2004 |
| Citation: | Algebra and Discrete Mathematics. 2004. № 2. P. 15–35. |
| Abstract: | One says that the Tits alternative holds for a finitely generated group G if G 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 $T(k,l,m,R)=<a,b; a^k=b^l=R^m(a,b)=1>$. 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). |
| URI: | http://elib.bsu.by/handle/123456789/10872 |
| Appears in Collections: | Архив статей механико-математического факультета до 2016 г. |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| On the Tits alternative for some generalized triangle groups.pdf | 246,86 kB | Adobe PDF | View/Open |
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