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Some properties of E(G,W,FTG) and an application in the theory of splittings of groups
Репозиторій DSpace/Manakin
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Some properties of E(G,W,FTG) and an application in the theory of splittings of groups
Інший ID:
DOI:10.12958/adm1246
2010 MSC: 20E06, 20J06, 57M07
2010 MSC: 20E06, 20J06, 57M07
Посилання:
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.
Підтримка:
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.
Дата:
2020
Переглядів:
222
Завантажень:
127
Анотація:
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.
