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Algebra and Discrete Mathematics, 2010, Volume 9, Issue 2, Pages 1–10
(Mi adm16)
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This article is cited in 2 scientific papers (total in 2 papers)
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 FSG be a certain Z2G-module. In this paper, using the cohomological invariant E(G,S,FSG) or simply ˜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 "singG(S)" defined by Kropholler and Roller [8]. We conclude that ˜E(G,S) can substitute the obstruction "singG(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.
Received: 16.09.2009 Revised: 09.11.2010
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
Linking options:
https://www.mathnet.ru/eng/adm16 https://www.mathnet.ru/eng/adm/v9/i2/p1
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Abstract page: | 255 | Full-text PDF : | 100 | References: | 5 | First page: | 1 |
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