Communications in Algebra · 1996 · 39 citations · 7 references
Natural SciencesMathematicsAlgebraNumber TheoryRepresentation TheoryAbstract AlgebraCohomology TheoryCommutative AlgebraGroup TheoryHomological AlgebraModular FormsCohomological DimensionCohomology GroupsCohomology RingFinite Abelian GroupsHochschild CohomologyHomological Algebra Of GroupsKrull Dimension
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 of the group algebra k G. Moreover, we prove that for any finite group G the Krull dimension of H H *(k G) equals the p-rank of G.
7
Introduction to Commutative Algebra.
D. J. Lewis, B. R. McDonald, M. F. Atiyah et al. · American Mathematical Monthly · 1970 · 1.8K citations
The Spectrum of an Equivariant Cohomology Ring: I
Daniel Quillen · Annals of Mathematics · 1971 · 631 citations
On the Cohomology Groups of an Associative Algebra
G. Hochschild · Annals of Mathematics · 1945 · 589 citations
The cohomology ring of a finite group
Leonard Evens · Transactions of the American Mathematical Society · 1961 · 166 citations · Full text