Standard

Hochschild cohomology ring of the modular group. / Alekhin, A.P.; Volkov, Y.V.; Generalov, A.I.

In: St. Petersburg Mathematical Journal, Vol. 26, 2015, p. 1-25.

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

Harvard

Alekhin, AP, Volkov, YV & Generalov, AI 2015, 'Hochschild cohomology ring of the modular group', St. Petersburg Mathematical Journal, vol. 26, pp. 1-25. https://doi.org/10.1090/S1061-0022-2014-01328-3

APA

Alekhin, A. P., Volkov, Y. V., & Generalov, A. I. (2015). Hochschild cohomology ring of the modular group. St. Petersburg Mathematical Journal, 26, 1-25. https://doi.org/10.1090/S1061-0022-2014-01328-3

Vancouver

Alekhin AP, Volkov YV, Generalov AI. Hochschild cohomology ring of the modular group. St. Petersburg Mathematical Journal. 2015;26:1-25. https://doi.org/10.1090/S1061-0022-2014-01328-3

Author

Alekhin, A.P. ; Volkov, Y.V. ; Generalov, A.I. / Hochschild cohomology ring of the modular group. In: St. Petersburg Mathematical Journal. 2015 ; Vol. 26. pp. 1-25.

BibTeX

@article{2c5927c0f9b34e83abe948f3695ae5fb,
title = "Hochschild cohomology ring of the modular group",
abstract = "A description in terms of generators and relations is given for the cohomology ring and the Hochschild cohomology ring of the group algebra for the even modular group over the ring of integers. The free resolution of the trivial module described by Wall is used for that. Moreover, the bimodule resolution of the group algebra in question is described. - See more at: http://www.ams.org/journals/spmj/2015-26-01/S1061-0022-2014-01328-3/#sthash.2f0yXV0f.dpuf",
keywords = "Hochschild cohomology, group algebras, modular 2-groups",
author = "A.P. Alekhin and Y.V. Volkov and A.I. Generalov",
year = "2015",
doi = "10.1090/S1061-0022-2014-01328-3",
language = "English",
volume = "26",
pages = "1--25",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",

}

RIS

TY - JOUR

T1 - Hochschild cohomology ring of the modular group

AU - Alekhin, A.P.

AU - Volkov, Y.V.

AU - Generalov, A.I.

PY - 2015

Y1 - 2015

N2 - A description in terms of generators and relations is given for the cohomology ring and the Hochschild cohomology ring of the group algebra for the even modular group over the ring of integers. The free resolution of the trivial module described by Wall is used for that. Moreover, the bimodule resolution of the group algebra in question is described. - See more at: http://www.ams.org/journals/spmj/2015-26-01/S1061-0022-2014-01328-3/#sthash.2f0yXV0f.dpuf

AB - A description in terms of generators and relations is given for the cohomology ring and the Hochschild cohomology ring of the group algebra for the even modular group over the ring of integers. The free resolution of the trivial module described by Wall is used for that. Moreover, the bimodule resolution of the group algebra in question is described. - See more at: http://www.ams.org/journals/spmj/2015-26-01/S1061-0022-2014-01328-3/#sthash.2f0yXV0f.dpuf

KW - Hochschild cohomology

KW - group algebras

KW - modular 2-groups

U2 - 10.1090/S1061-0022-2014-01328-3

DO - 10.1090/S1061-0022-2014-01328-3

M3 - Article

VL - 26

SP - 1

EP - 25

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

ER -

ID: 3969591