Some results on the Hochschild cohomology of group algebras

Author:
A. Pourabbas

Journal:
Proc. Amer. Math. Soc. **135** (2007), 2095-2105

MSC (2000):
Primary 43A20; Secondary 46M20

DOI:
https://doi.org/10.1090/S0002-9939-07-08705-9

Published electronically:
February 2, 2007

MathSciNet review:
2299486

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we investigate structure of the second cohomology of a discrete group . First, for a -set we show that an isomorphism of vector spaces from onto exists, where is the set of orbits of . Next we define the notion of pseudoderivation and apply it for the calculation of .

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Additional Information

**A. Pourabbas**

Affiliation:
Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, Iran

Email:
arpabbas@aut.ac.ir

DOI:
https://doi.org/10.1090/S0002-9939-07-08705-9

Received by editor(s):
February 23, 2005

Received by editor(s) in revised form:
March 9, 2006

Published electronically:
February 2, 2007

Communicated by:
Joseph A. Ball

Article copyright:
© Copyright 2007
American Mathematical Society