Exterior and symmetric (co)homology of groups

Exterior and symmetric (co)homology of groups Full article

Journal

International Journal of Algebra and Computation
ISSN: 0218-1967 , E-ISSN: 1793-6500

Output data

Year: 2020, Volume: 30, Number: 8, Pages: 1577-1607 Pages count : 31 DOI: 10.1142/S0218196720500551

Tags

Classical cohomology; classical homology; corestriction map; exterior cohomology; exterior homology; restriction map; symmetric cohomology; symmetric homology

Authors

Bardakov V.G. ^1,2,3 , Neshchadim M.V. ^1,3 , Singh M. ⁴

Affiliations

1	Sobolev Institute of Mathematics and Novosibirsk State University, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State Agrarian University, Dobrolyubova Street, 160, Novosibirsk, 630039, Russian Federation
3	Regional Scientific and Educational Mathematical Center of Tomsk State University, 36 Lenin Ave., Tomsk, Russian Federation
4	Department of Mathematical Sciences, Indian Institute of Science Education and Research (IISER), Mohali, Sector 81, S. A. S. Nagar, P. O. Manauli, Punjab, 140306, India

The paper investigates exterior and symmetric (co)homologies of groups. We introduce symmetric homology of groups and compute exterior and symmetric (co)homologies of some finite groups. We also compare the classical, exterior and symmetric (co)homologies. Finally, we derive restriction and corestriction homomorphisms for exterior cohomology. © 2020 World Scientific Publishing Company.

Bardakov V.G. , Neshchadim M.V. , Singh M.
Exterior and symmetric (co)homology of groups
International Journal of Algebra and Computation. 2020. V.30. N8. P.1577-1607. DOI: 10.1142/S0218196720500551 WOS Scopus OpenAlex

Web of science:	WOS:000599887200004
Scopus:	2-s2.0-85091762740
OpenAlex:	W2897017428

DB	Citing
Scopus	2
OpenAlex	3
Web of science	2