On certain homological invariant and its relation with Poincaré duality pairs
Let G be a group, S = {Sᵢ, i ∊ I} a non empty family of (not necessarily distinct) subgroups of infinite index in G and M a Z₂G-module. In [4] the authors defined a homological invariant E*(G, S,M), which is “dual” to the cohomological invariant E(G, S,M), defined in [1]. In this paper we present a...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2018 |
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| Language: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188357 |
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| Cite this: | On certain homological invariant and its relation with Poincaré duality pairs / M.G.C. Andrade, A.B. Gazon, A.F. Lima // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 177–187. — Бібліогр.: 7 назв. — англ. |
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Andrade, M.G.C. Gazon, A.B. Lima A.F. 2023-02-25T14:35:39Z 2023-02-25T14:35:39Z 2018 On certain homological invariant and its relation with Poincaré duality pairs / M.G.C. Andrade, A.B. Gazon, A.F. Lima // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 177–187. — Бібліогр.: 7 назв. — англ. 1726-3255 2010 MSC: 20J05, 20J06, 57P10 https://nasplib.isofts.kiev.ua/handle/123456789/188357 Let G be a group, S = {Sᵢ, i ∊ I} a non empty family of (not necessarily distinct) subgroups of infinite index in G and M a Z₂G-module. In [4] the authors defined a homological invariant E*(G, S,M), which is “dual” to the cohomological invariant E(G, S,M), defined in [1]. In this paper we present a more general treatment of the invariant E*(G, S,M) obtaining results and properties, under a homological point of view, which are dual to those obtained by Andrade and Fanti with the invariant E(G, S,M). We analyze, through the invariant E*(G, S,M), properties about groups that satisfy certain finiteness conditions such as Poincaré duality for groups and pairs. The first author was partially supported by FAPESP, grant no. 2012/24454-8 and the second and third authors were supported by CAPES. The authors would like to thank the referee for useful remarks and suggestions. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On certain homological invariant and its relation with Poincaré duality pairs Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On certain homological invariant and its relation with Poincaré duality pairs |
| spellingShingle |
On certain homological invariant and its relation with Poincaré duality pairs Andrade, M.G.C. Gazon, A.B. Lima A.F. |
| title_short |
On certain homological invariant and its relation with Poincaré duality pairs |
| title_full |
On certain homological invariant and its relation with Poincaré duality pairs |
| title_fullStr |
On certain homological invariant and its relation with Poincaré duality pairs |
| title_full_unstemmed |
On certain homological invariant and its relation with Poincaré duality pairs |
| title_sort |
on certain homological invariant and its relation with poincaré duality pairs |
| author |
Andrade, M.G.C. Gazon, A.B. Lima A.F. |
| author_facet |
Andrade, M.G.C. Gazon, A.B. Lima A.F. |
| publishDate |
2018 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
Let G be a group, S = {Sᵢ, i ∊ I} a non empty family of (not necessarily distinct) subgroups of infinite index in G and M a Z₂G-module. In [4] the authors defined a homological invariant E*(G, S,M), which is “dual” to the cohomological invariant E(G, S,M), defined in [1]. In this paper we present a more general treatment of the invariant E*(G, S,M) obtaining results and properties, under a homological point of view, which are dual to those obtained by Andrade and Fanti with the invariant E(G, S,M). We analyze, through the invariant E*(G, S,M), properties about groups that satisfy certain finiteness conditions such as Poincaré duality for groups and pairs.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188357 |
| citation_txt |
On certain homological invariant and its relation with Poincaré duality pairs / M.G.C. Andrade, A.B. Gazon, A.F. Lima // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 177–187. — Бібліогр.: 7 назв. — англ. |
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2025-12-07T19:44:50Z |
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2025-12-07T19:44:50Z |
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