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Algebra i Analiz, 2007, Volume 19, Issue 5, Pages 70–123 (Mi aa137)  
This article is cited in 14 scientific papers (total in 14 papers)

Research Papers

Hochschild cohomology of the integral group ring of the dihedral group. I: Even case

A. I. Generalov

St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (410 kB) Citations (14)
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Abstract: A free bimodule resolution is constructed for the integral group ring of the dihedral group of order $4m$. This resolution is applied for a description, in terms of generators and defining relations, of the Hochschild cohomology algebra of this group ring.
Keywords: Free bimodule resolution, integral group ring, dihedral group, Hochschild cohomology algebra.
Received: 20.03.2007
English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 5, Pages 723–763
DOI: https://doi.org/10.1090/S1061-0022-08-01018-2
Bibliographic databases:
Document Type: Article
MSC: 13D03
Language: Russian
Citation: A. I. Generalov, “Hochschild cohomology of the integral group ring of the dihedral group. I: Even case”, Algebra i Analiz, 19:5 (2007), 70–123; St. Petersburg Math. J., 19:5 (2008), 723–763
Citation in format AMSBIB
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\transl
\jour St. Petersburg Math. J.
\yr 2008
\vol 19
\issue 5
\pages 723--763
\crossref{https://doi.org/10.1090/S1061-0022-08-01018-2}
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  • https://www.mathnet.ru/eng/aa/v19/i5/p70
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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