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Algebra i Analiz, 2007 Volume 19, Issue 5, Pages 70–123 (Mi aa137)

This article is cited 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

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.

MSC: 13D03

Received: 20.03.2007


 English version:
St. Petersburg Mathematical Journal, 2008, 19:5, 723–763

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