Group algebra criteria for vanishing of cohomology
نویسندگان
چکیده
منابع مشابه
Commutative Algebra in Group Cohomology . 3
We apply constructions from equivariant topology to Benson-Carlson resolutions and hence prove in (2.1) that the group cohomology ring of a nite group enjoys remarkable duality properties based on its global geometry. This recovers and generalizes the result of Benson-Carlson stating that a Cohen-Macaulay cohomology ring is automatically Gorenstein. We give an alternative approach to Tate cohom...
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In [1,2,3], A. C. Baker and J.W. Baker studied the subspace Ma(S) of the convolution measure algebra M, (S) of a locally compact semigroup. H. Dzinotyiweyi in [5,7] considers an analogous measure space on a large class of C-distinguished topological semigroups containing all completely regular topological semigroups. In this paper, we extend the definitions to study the weighted semigroup ...
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There exists a p-local spectrum T (m) with BP∗(T (m))= BP∗[t1, . . . , tm]. Its Adams-Novikov E2-term is isomorphic to ExtΓ(m+1)(BP∗, BP∗), where Γ(m+ 1) = BP∗(BP )/ (t1, . . . , tm) = BP∗[tm+1, tm+2, . . . ]. In this paper we determine the groups ExtΓ(m+1)(BP∗, v −1 n BP∗/In) for all m,n > 0. Its rank ranges from n + 1 to n2 depending on the value of m.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2020
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2020.108730