Hochschild cohomology of the integral group ring of the dihedral group. I: Even case
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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
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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.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)
- © 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
Dedicated: Dedicated to the centenary of D. K. Faddeev’s birth