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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2018
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188357 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862734764203573248 |
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| author | Andrade, M.G.C. Gazon, A.B. Lima A.F. |
| author_facet | Andrade, M.G.C. Gazon, A.B. Lima A.F. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T19:44:50Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188357 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:44:50Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | On certain homological invariant and its relation with Poincaré duality pairs Andrade, M.G.C. Gazon, A.B. Lima A.F. |
| title | 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_short | On certain homological invariant and its relation with Poincaré duality pairs |
| title_sort | on certain homological invariant and its relation with poincaré duality pairs |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188357 |
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