Some properties of E(G,W,FTG) and an application in the theory of splittings of groups
Let us consider W a G-set and M a Z₂G-module, where G is a group. In this paper we investigate some properties of the cohomological the theory of splittings of groups. Namely, we give a proof of the invariant E(G,W,M), defined in [5] and present related results with independence of E(G,W,M) with res...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2020 |
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| Language: | English |
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Інститут прикладної математики і механіки НАН України
2020
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| Cite this: | Some properties of E(G,W,FTG) and an application in the theory of splittings of groups / E.L.C. Fanti, L.S. Silva // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 179–193. — Бібліогр.: 19 назв. — англ. |
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Fanti, E.L.C. Silva, L.S. 2023-03-06T14:31:02Z 2023-03-06T14:31:02Z 2020 Some properties of E(G,W,FTG) and an application in the theory of splittings of groups / E.L.C. Fanti, L.S. Silva // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 179–193. — Бібліогр.: 19 назв. — англ. 1726-3255 DOI:10.12958/adm1246 2010 MSC: 20E06, 20J06, 57M07 https://nasplib.isofts.kiev.ua/handle/123456789/188562 Let us consider W a G-set and M a Z₂G-module, where G is a group. In this paper we investigate some properties of the cohomological the theory of splittings of groups. Namely, we give a proof of the invariant E(G,W,M), defined in [5] and present related results with independence of E(G,W,M) with respect to the set of G-orbit representatives in W and properties of the invariant E(G,W,FTG) establishing a relation with the end of pairs of groups ê(G, T), defined by Kropphller and Holler in [15]. The main results give necessary conditions for G to split over a subgroup T, in the cases where M = Z₂(G/T ) or M = FTG. The authors’ research was supported by FAPESP (grant 12/24454-8, 16/24707-4) and CAPES. We would like to thank to Professor G. P. Scott for the prompt attention and a suggestion for an example. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Some properties of E(G,W,FTG) and an application in the theory of splittings of groups Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
Some properties of E(G,W,FTG) and an application in the theory of splittings of groups |
| spellingShingle |
Some properties of E(G,W,FTG) and an application in the theory of splittings of groups Fanti, E.L.C. Silva, L.S. |
| title_short |
Some properties of E(G,W,FTG) and an application in the theory of splittings of groups |
| title_full |
Some properties of E(G,W,FTG) and an application in the theory of splittings of groups |
| title_fullStr |
Some properties of E(G,W,FTG) and an application in the theory of splittings of groups |
| title_full_unstemmed |
Some properties of E(G,W,FTG) and an application in the theory of splittings of groups |
| title_sort |
some properties of e(g,w,ftg) and an application in the theory of splittings of groups |
| author |
Fanti, E.L.C. Silva, L.S. |
| author_facet |
Fanti, E.L.C. Silva, L.S. |
| publishDate |
2020 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
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Article |
| description |
Let us consider W a G-set and M a Z₂G-module, where G is a group. In this paper we investigate some properties of the cohomological the theory of splittings of groups. Namely, we give a proof of the invariant E(G,W,M), defined in [5] and present related results with independence of E(G,W,M) with respect to the set of G-orbit representatives in W and properties of the invariant E(G,W,FTG) establishing a relation with the end of pairs of groups ê(G, T), defined by Kropphller and Holler in [15]. The main results give necessary conditions for G to split over a subgroup T, in the cases where M = Z₂(G/T ) or M = FTG.
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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188562 |
| citation_txt |
Some properties of E(G,W,FTG) and an application in the theory of splittings of groups / E.L.C. Fanti, L.S. Silva // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 179–193. — Бібліогр.: 19 назв. — англ. |
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2025-12-07T18:45:47Z |
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2025-12-07T18:45:47Z |
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1850876255615844352 |