A note about splittings of groups and commensurability under a cohomological point of view
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 rela...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2010 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154500 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A note about splittings of groups and commensurability under a cohomological point of view / Maria Gorete Carreira Andrade, Ermınia de Lourdes Campelloi Fanti // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 2. — С. 1–10. — Бібліогр.: 13 назв. — англ. |
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Maria Gorete Carreira Andrade Ermınia de Lourdes Campelloi Fanti 2019-06-15T16:11:48Z 2019-06-15T16:11:48Z 2010 A note about splittings of groups and commensurability under a cohomological point of view / Maria Gorete Carreira Andrade, Ermınia de Lourdes Campelloi Fanti // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 2. — С. 1–10. — Бібліогр.: 13 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:20J05, 20J06; 20E06 https://nasplib.isofts.kiev.ua/handle/123456789/154500 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. The authors participate of Project Number 04/10229-6 - supported by FAPESP.The first author is also partially supported by MEC-SESu en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics A note about splittings of groups and commensurability under a cohomological point of view Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
A note about splittings of groups and commensurability under a cohomological point of view |
| spellingShingle |
A note about splittings of groups and commensurability under a cohomological point of view Maria Gorete Carreira Andrade Ermınia de Lourdes Campelloi Fanti |
| title_short |
A note about splittings of groups and commensurability under a cohomological point of view |
| title_full |
A note about splittings of groups and commensurability under a cohomological point of view |
| title_fullStr |
A note about splittings of groups and commensurability under a cohomological point of view |
| title_full_unstemmed |
A note about splittings of groups and commensurability under a cohomological point of view |
| title_sort |
note about splittings of groups and commensurability under a cohomological point of view |
| author |
Maria Gorete Carreira Andrade Ermınia de Lourdes Campelloi Fanti |
| author_facet |
Maria Gorete Carreira Andrade Ermınia de Lourdes Campelloi Fanti |
| publishDate |
2010 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/154500 |
| citation_txt |
A note about splittings of groups and commensurability under a cohomological point of view / Maria Gorete Carreira Andrade, Ermınia de Lourdes Campelloi Fanti // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 2. — С. 1–10. — Бібліогр.: 13 назв. — англ. |
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2025-12-07T17:33:03Z |
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