A note about splittings of groups and commensurability under a cohomological point of view
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A note about splittings of groups and commensurability under a cohomological point of view
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| Creator |
Maria Gorete Carreira Andrade
Ermınia de Lourdes Campelloi Fanti |
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| 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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| Date |
2019-06-15T16:11:48Z
2019-06-15T16:11:48Z 2010 |
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| Type |
Article
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| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/154500 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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