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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

The third partial cohomology group and existence of extensions of semilattices of groups by groups

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Author(s):
Dokuchaev, Mikhailo [1] ; Khrypchenko, Mykola [2, 3] ; Makuta, Mayumi [1]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil
[2] Univ Fed Santa Catarina, Dept Matemat, Campus Reitor Joao David Ferreira Lima, BR-88040900 Florianopolis, SC - Brazil
[3] Univ Nova Lisboa, Ctr Matemat & Aplicacoes, Fac Ciencias & Tecnol, P-2829516 Caparica - Portugal
Total Affiliations: 3
Document type: Journal article
Source: FORUM MATHEMATICUM; v. 32, n. 5, p. 1297-1313, SEP 2020.
Web of Science Citations: 0
Abstract

We introduce the concept of a partial abstract kernel associated to a group G and a semilattice of groups A and relate the partial cohomology group H-3 (G, C(A)) with the obstructions to the existence of admissible extensions of A by G which realize the given abstract kernel. We also show that if such extensions exist, then they are classified by H-2 (G, C(A)). (AU)

FAPESP's process: 15/09162-9 - Non commutative algebra and applications
Grantee:Francisco Cesar Polcino Milies
Support Opportunities: Research Projects - Thematic Grants