Authors
Citation
T. Holm, THE HOCHSCHILD COHOMOLOGY RING OF A MODULAR GROUP-ALGEBRA - THE COMMUTATIVE CASE, Communications in algebra, 24(6), 1996, pp. 1957-1969
Citations number
10
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
ISSN journal
00927872
Volume
24
Issue
6
Year of publication
1996
Pages
1957 - 1969
Database
ISI
SICI code
0092-7872(1996)24:6<1957:THCROA>2.0.ZU;2-M
Abstract
Let k be a field of characteristic p > 0 and let G be a finite abelian
group. We determine the structure of the Hochschild cohomology ring o
f the group algebra kG. Moreover, we prove that for any finite group G
the Krull dimension of HH(kG) equals the p-rank of G.