RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Algebra Discrete Math.:
Year:
Volume:
Issue:
Page:
Find






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


Algebra Discrete Math., 2010, Volume 9, Issue 2, Pages 1–10 (Mi adm16)  

This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

A note about splittings of groups and commensurability under a cohomological point of view

Maria Gorete Carreira Andrade, Ermínia de Lourdes Campello Fanti

UNESP – Universidade Estadual Paulista, Departamento de Matemática Rua Cristovão Colombo, 2265, 15054-000, São José do Rio Preto – SP Brazil

Abstract: Let $G$ be a group, let $S$ be a subgroup with infinite index in $G$ and let $\mathcal{F}_SG$ be a certain $\mathbb Z_2G$-module. In this paper, using the cohomological invariant $E(G,S,\mathcal{F}_SG)$ or simply $\tilde{E}(G,S)$ (defined in [2]), we analyze some results about splittings of group $G$ over a commensurable with $S$ subgroup which are related with the algebraic obstruction “$\mathrm{sing}_G(S)$” defined by Kropholler and Roller [8]. We conclude that $\tilde{E}(G,S)$ can substitute the obstruction “$\mathrm{sing}_G(S)$” in more general way. We also analyze splittings of groups in the case, when $G$ and $S$ satisfy certain duality conditions.

Keywords: Splittings of groups, cohomology of groups, commensurability.

Full text: PDF file (240 kB)

Bibliographic databases:
MSC: 20J05, 20J06, 20E06
Received: 16.09.2009
Revised: 09.11.2010
Language:

Citation: Maria Gorete Carreira Andrade, Ermínia de Lourdes Campello Fanti, “A note about splittings of groups and commensurability under a cohomological point of view”, Algebra Discrete Math., 9:2 (2010), 1–10

Citation in format AMSBIB
\Bibitem{AndFan10}
\by Maria Gorete Carreira Andrade, Erm{\'\i}nia de Lourdes Campello Fanti
\paper A note about splittings of groups and commensurability under a~cohomological point of view
\jour Algebra Discrete Math.
\yr 2010
\vol 9
\issue 2
\pages 1--10
\mathnet{http://mi.mathnet.ru/adm16}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2808777}
\zmath{https://zbmath.org/?q=an:1242.35020}


Linking options:
  • http://mi.mathnet.ru/eng/adm16
  • http://mi.mathnet.ru/eng/adm/v9/i2/p1

    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

    This publication is cited in the following articles:
    1. Maria Gorete Carreira Andrade, Amanda Buosi Gazon, Amanda Ferreira de Lima, “On certain homological invariant and its relation with Poincaré duality pairs”, Algebra Discrete Math., 25:2 (2018), 177–187  mathnet
  • Algebra and Discrete Mathematics
    Number of views:
    This page:139
    Full text:54
    First page:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020