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

被引：1

作者：

Dokuchaev, Mikhailo ^{[3
]}

Khrypchenko, Mykola ^{[1
,2
]}

Makuta, Mayumi ^{[3
]}

机构：

[1] Univ Fed Santa Catarina, Dept Matemat, Campus Reitor Joao David Ferreira Lima, BR-88040900 Florianopolis, SC, Brazil

[2] Univ Nova Lisboa, Ctr Matemat & Aplicacoes, Fac Ciencias & Tecnol, P-2829516 Caparica, Portugal

[3] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP, Brazil

来源：

FORUM MATHEMATICUM | 2020年 / 32卷 / 05期

基金：

巴西圣保罗研究基金会;

关键词：

Partial group action; partial cohomology; obstruction; extension; inverse semigroup; TWISTED PARTIAL ACTIONS; CROSSED-PRODUCTS;

D O I：

10.1515/forum-2019-0281

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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)).

引用

页码：1297 / 1313

页数：17

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