JOURNAL ARTICLE

Exterior and symmetric (co)homology of groups

Valeriy G. BardakovМ. В. НещадимMahender Singh

Year: 2020 Journal:   International Journal of Algebra and Computation Vol: 30 (08)Pages: 1577-1607   Publisher: World Scientific

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:
Mathematics Cohomology Homology (biology) Homomorphism Pure mathematics Symmetric group Mayer–Vietoris sequence Ring of symmetric functions Symmetric closure Complete homogeneous symmetric polynomial Triple system Combinatorics Equivariant cohomology De Rham cohomology

Metrics

3
Cited By
1.09
FWCI (Field Weighted Citation Impact)
17
Refs
0.72
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Homotopy and Cohomology in Algebraic Topology
Physical Sciences →  Mathematics →  Mathematical Physics
Geometric and Algebraic Topology
Physical Sciences →  Mathematics →  Geometry and Topology
Algebraic structures and combinatorial models
Physical Sciences →  Mathematics →  Geometry and Topology

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