منابع مشابه
WZW orientifolds and finite group cohomology
The simplest orientifolds of the WZW models are obtained by gauging a Z2 symmetry group generated by a combined involution of the target Lie group G and of the worldsheet. The action of the involution on the target is by a twisted inversion g 7→ (ζg)−1, where ζ is an element of the center of G. It reverses the sign of the KalbRamond torsion field H given by a bi-invariant closed 3-form on G. Th...
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For every prime integer p, M. Hochster conjectured the existence of certain p-torsion elements in a local cohomology module over a regular ring of mixed characteristic. We show that Hochster’s conjecture is false. We next construct an example where a local cohomology module over a hypersurface has p-torsion elements for every prime integer p, and consequently has infinitely many associated prim...
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We show that if an inclusion of finite groups H ≤ G of index prime to p induces a homeomorphism of mod p cohomology varieties, or equivalently an F–isomorphism in mod p cohomology, then H controls p–fusion in G, if p is odd. This generalizes classical results of Quillen who proved this when H is a Sylow p–subgroup, and furthermore implies a hitherto difficult result of Mislin about cohomology i...
متن کاملOn the Second Cohomology Group of a Finite Group
We shall in fact prove it with C = 2. In the same situation, Aschbacher and Guralnick proved in Theorem A of [1] that \H\G, V)\<\V\. Guralnick has recently improved this bound to \H(G, V)\^\V\l, which is the best possible. At the present time, a proof of the intermediate result \H(G, V)\ «= |V|S is available in preprint form [13]. By using this result, it should be possible with a little extra ...
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Let G be a finite group and k a field of characteristic p dividing |G|. Then Greenlees has developed a spectral sequence whose E2 term is the local cohomology of H∗(G, k) with respect to the maximal ideal, and which converges to H∗(G, k). Greenlees and Lyubeznik have used Grothendieck’s dual localization to provide a localized form of this spectral sequence with respect to a homogeneous prime i...
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ژورنال
عنوان ژورنال: Homology, Homotopy and Applications
سال: 2011
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2011.v13.n1.a9