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Descent Cohomology and Factorizations of Groups

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Abstract

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.

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References

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Acknowledgements

The authors would like to express their gratitude to the referee for valuable remarks. The research was supported by UPAR grants G00003658.

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Authors and Affiliations

  1. Department of Mathematical Sciences, UAEU, Al Ain, United Arab Emirates

    Victor Bovdi

  2. Department of Mathematics, Faculty of Exact and Natural Sciences of I. Javakhishvili Tbilisi State University, Tbilisi, Georgia

    Bachuki Mesablishvili

Authors
  1. Victor Bovdi
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  2. Bachuki Mesablishvili
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Correspondence to Victor Bovdi.

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Presented by: Vyjayanthi Chari

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Bovdi, V., Mesablishvili, B. Descent Cohomology and Factorizations of Groups. Algebr Represent Theor 26, 1693–1712 (2023). https://doi.org/10.1007/s10468-022-10139-0

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