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: | Englisch |
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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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862711882134061056 |
|---|---|
| author | Maria Gorete Carreira Andrade Ermınia de Lourdes Campelloi Fanti |
| author_facet | Maria Gorete Carreira Andrade Ermınia de Lourdes Campelloi Fanti |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T17:33:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154500 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:33:03Z |
| publishDate | 2010 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| 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 | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154500 |
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