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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2014, Number 2(9), Pages 7–10
DOI: https://doi.org/10.18454/2079-6641-2014-9-2-7-10 (Mi vkam36) 		 
MATHEMATICS

Finite generated subgroups of hyperbolic groups

A. P. Goryushkin

Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia
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DOI: https://doi.org/10.18454/2079-6641-2014-9-2-7-10
Abstract: It is proved that finite generated subgroups of infinite index of hyperbolic groups which are not quasi Abelian are complemented with a nontrivial free factor.
Keywords: hyperbolic group, free product, free product with amalgamation, set of generators, index of a subgroup, normal subgroup.
Received: 02.09.2014
English version:
Bulletin KRASEC. Physical and Mathematical Sciences, 2014, Volume 9, Issue 2, Pages 23–26
DOI: https://doi.org/10.18454/2313-0156-2014-9-2-23-26
Bibliographic databases:
Document Type: Article
UDC: 512.24
MSC: 18A32
Language: Russian
Citation: A. P. Goryushkin, “Finite generated subgroups of hyperbolic groups”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2014, no. 2(9), 7–10; Bulletin KRASEC. Phys. & Math. Sci., 9:2 (2014), 23–26
Citation in format AMSBIB
\Bibitem{Gor14}
\by A.~P.~Goryushkin
\paper Finite generated subgroups of hyperbolic groups
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2014
\issue 2(9)
\pages 7--10
\mathnet{http://mi.mathnet.ru/vkam36}
\crossref{https://doi.org/10.18454/2079-6641-2014-9-2-7-10}
\elib{https://elibrary.ru/item.asp?id=22627491}
\transl
\jour Bulletin KRASEC. Phys. & Math. Sci.
\yr 2014
\vol 9
\issue 2
\pages 23--26
\crossref{https://doi.org/10.18454/2313-0156-2014-9-2-23-26}
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    References:52
     
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