TY - JOUR
T1 - Descent Cohomology and Factorizations of Groups
AU - Bovdi, Victor
AU - Mesablishvili, Bachuki
N1 - Funding Information:
The authors would like to express their gratitude to the referee for valuable remarks. The research was supported by UPAR grants G00003658.
Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature B.V.
PY - 2022
Y1 - 2022
N2 - The aim of the paper is to give a full classification of factorizations of groups in terms of descent cohomology (pointed) sets introduced in Mesablishvili (Trans. A. Razmadze Math. Inst. 173(2), 137–155, 2019). We show that descent cohomology includes Serre’s non-abelian group cohomology as a special case. This enables us to generalize Serre’s theory further to include monoids.
AB - The aim of the paper is to give a full classification of factorizations of groups in terms of descent cohomology (pointed) sets introduced in Mesablishvili (Trans. A. Razmadze Math. Inst. 173(2), 137–155, 2019). We show that descent cohomology includes Serre’s non-abelian group cohomology as a special case. This enables us to generalize Serre’s theory further to include monoids.
KW - Descent cohomology
KW - Group factorization
KW - Non-abelian cohomology
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U2 - 10.1007/s10468-022-10139-0
DO - 10.1007/s10468-022-10139-0
M3 - Article
AN - SCOPUS:85133939387
SN - 1386-923X
JO - Algebras and Representation Theory
JF - Algebras and Representation Theory
ER -