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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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Hochschild cohomology of the integral group ring of the dihedral group. I: Even case
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by A. I. Generalov
Translated by: the author
St. Petersburg Math. J. 19 (2008), 723-763
DOI: https://doi.org/10.1090/S1061-0022-08-01018-2
Published electronically: June 25, 2008

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.
References
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Bibliographic Information
  • A. I. Generalov
  • Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskiĭ Prospeket 28, Staryĭ Peterhof, St. Petersburg 198504, Russia
  • Email: general@pdmi.ras.ru
  • Received by editor(s): March 20, 2007
  • Published electronically: June 25, 2008
  • Additional Notes: Supported by RFBR (grant no. 06-01-0020/ 0)

  • Dedicated: Dedicated to the centenary of D. K. Faddeev’s birth
  • © Copyright 2008 American Mathematical Society
  • Journal: St. Petersburg Math. J. 19 (2008), 723-763
  • MSC (2000): Primary 13D03
  • DOI: https://doi.org/10.1090/S1061-0022-08-01018-2
  • MathSciNet review: 2381942