Exterior and symmetric (co)homology of groups
Group Theory
2021-07-19 v2 K-Theory and Homology
Abstract
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
Keywords
Cite
@article{arxiv.1810.07401,
title = {Exterior and symmetric (co)homology of groups},
author = {Valeriy G. Bardakov and Mikhail V. Neshchadim and Mahender Singh},
journal= {arXiv preprint arXiv:1810.07401},
year = {2021}
}
Comments
24 pages, shortened version