Exterior and symmetric (co)homology of groups

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

24 pages, shortened version

References in corpus (2)

• Some Problems on Knots, Braids, and Automorphism Groups
• Symmetric cohomology of groups as a Mackey functor

Cited by in corpus (1)

• Symmetric cohomology and symmetric Hochschild cohomology of cocommutative Hopf algebras