RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik KRAUNC. Fiz.-Mat. Nauki:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Vestnik KRAUNC. Fiz.-Mat. Nauki, 2014, Number 2(9), Pages 7–10 (Mi vkam36)  

MATHEMATICS

Finite generated subgroups of hyperbolic groups

A. P. Goryshkin

Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia

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.

DOI: https://doi.org/10.18454/2079-6641-2014-9-2-7-10

Full text: PDF file (185 kB)
Full text: http://www.ikir.ru/.../article0001.html
References: PDF file   HTML file

English version:
Bulletin KRASEC. Physical and Mathematical Sciences, 2014, 9:2, 23–26 (PDF, 161 kB); https://doi.org/10.18454/2313-0156-2014-9-2-23-26

UDC: 512.24
MSC: 18A32
Received: 02.09.2014

Citation: A. P. Goryshkin, “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.~Goryshkin
\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{http://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}


Linking options:
  • http://mi.mathnet.ru/eng/vkam36
  • http://mi.mathnet.ru/eng/vkam/y2014/i2/p7

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
    Number of views:
    This page:73
    Full text:23
    References:33

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019