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періодичних видань НАН України
Some properties of E(G,W,FTG) and an application in the theory of splittings of groups
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| dc.contributor.author | Fanti, E.L.C. | |
| dc.contributor.author | Silva, L.S. | |
| dc.date.accessioned | 2023-03-06T14:31:02Z | |
| dc.date.available | 2023-03-06T14:31:02Z | |
| dc.date.issued | 2020 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1726-3255 | |
| dc.identifier.other | DOI:10.12958/adm1246 | |
| dc.identifier.other | 2010 MSC: 20E06, 20J06, 57M07 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/188562 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | 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. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут прикладної математики і механіки НАН України | uk_UA |
| dc.relation.ispartof | Algebra and Discrete Mathematics | |
| dc.title | Some properties of E(G,W,FTG) and an application in the theory of splittings of groups | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
