Exterior and symmetric (co)homology of groups

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Exterior and symmetric (co)homology of groups. / Bardakov, Valeriy G.; Neshchadim, Mikhail V.; Singh, Mahender.

In: International Journal of Algebra and Computation, Vol. 30, No. 8, 12.2020, p. 1577-1607.

Research output: Contribution to journal › Article › peer-review

Harvard

Bardakov, VG , Neshchadim, MV & Singh, M 2020, 'Exterior and symmetric (co)homology of groups', International Journal of Algebra and Computation, vol. 30, no. 8, pp. 1577-1607. https://doi.org/10.1142/S0218196720500551

APA

Bardakov, V. G., Neshchadim, M. V., & Singh, M. (2020). Exterior and symmetric (co)homology of groups. International Journal of Algebra and Computation, 30(8), 1577-1607. https://doi.org/10.1142/S0218196720500551

Vancouver

Bardakov VG , Neshchadim MV, Singh M. Exterior and symmetric (co)homology of groups. International Journal of Algebra and Computation. 2020 Dec;30(8):1577-1607. doi: 10.1142/S0218196720500551

Author

Bardakov, Valeriy G. ; Neshchadim, Mikhail V. ; Singh, Mahender. / Exterior and symmetric (co)homology of groups. In: International Journal of Algebra and Computation. 2020 ; Vol. 30, No. 8. pp. 1577-1607.

BibTeX

@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",

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",

}

RIS

TY - JOUR

T1 - Exterior and symmetric (co)homology of groups

AU - Bardakov, Valeriy G.

AU - Neshchadim, Mikhail V.

AU - Singh, Mahender

PY - 2020/12

Y1 - 2020/12

N2 - 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.

AB - 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.

KW - Classical cohomology

KW - classical homology

KW - corestriction map

KW - exterior cohomology

KW - exterior homology

KW - restriction map

KW - symmetric cohomology

KW - symmetric homology

UR - http://www.scopus.com/inward/record.url?scp=85091762740&partnerID=8YFLogxK

U2 - 10.1142/S0218196720500551

DO - 10.1142/S0218196720500551

M3 - Article

AN - SCOPUS:85091762740

VL - 30

SP - 1577

EP - 1607

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

SN - 0218-1967

IS - 8

ER -

ID: 25615612