@article{a7ac41b5ec6941b8b2dac2a94099ac22,
title = "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. ",
keywords = "Classical cohomology, classical homology, corestriction map, exterior cohomology, exterior homology, restriction map, symmetric cohomology, symmetric homology",
author = "Bardakov, {Valeriy G.} and Neshchadim, {Mikhail V.} and Mahender Singh",
note = "Publisher Copyright: {\textcopyright} 2020 World Scientific Publishing Company. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = dec,
doi = "10.1142/S0218196720500551",
language = "English",
volume = "30",
pages = "1577--1607",
journal = "International Journal of Algebra and Computation",
issn = "0218-1967",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "8",
}