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Hochschild cohomology of the integral group ring of the dihedral group. I: Even case
Author(s):
A.
I.
Generalov
Translated by:
the author
Original publication:
Algebra i Analiz,
tom 19
(2007),
nomer 5.
Journal:
St. Petersburg Math. J.
19
(2008),
723-763.
MSC (2000):
Primary 13D03
Posted:
June 25, 2008
MathSciNet review:
2381942
Retrieve article in:
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References |
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Additional information
Abstract:
A free bimodule resolution is constructed for the integral group ring of the dihedral group of order  . This resolution is applied for a description, in terms of generators and defining relations, of the Hochschild cohomology algebra of this group ring.
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Additional 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
DOI:
10.1090/S1061-0022-08-01018-2
PII:
S 1061-0022(08)01018-2
Keywords:
Free bimodule resolution,
integral group ring,
dihedral group,
Hochschild cohomology algebra
Received by editor(s):
20/MAR/2007
Posted:
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 of article:
Copyright
2008,
American Mathematical Society
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