Browsing by Keywords "Cohomology of groups"
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Cohomology of infinite groups realizing fusion systems
(Springer, 201906)Given a fusion system FF defined on a pgroup S, there exist infinite group models, constructed by Leary and Stancu, and Robinson, that realize FF. We study these models when FF is a fusion system of a finite group G and ... 
Cohomology of infinite groups realizing fusion systems
(Bilkent University, 201909)Given a fusion system F defined on a pgroup S, there exist infinite group models, constructed by Leary and Stancu, and Robinson, that realize F. We study these models when F is a fusion system of a finite group G. If ... 
Generalized Burnside rings and group cohomology
(Academic Press, 20070415)We define the cohomological Burnside ring B n (G, M) of a finite group G with coefficients in a Z Gmodule M as the Grothendieck ring of the isomorphism classes of pairs [X, u] where X is a Gset and u is a cohomology class ... 
A note on Serre ' s theorem in group cohomology
(American Mathematical Society, 2008)In 1987, Serre proved that if G is a pgroup which is not elementary abelian, then a product of Bocksteins of one dimensional classes is zero in the mod p cohomology algebra of G, provided that the product includes at least ... 
On nilpotent ideals in the cohomology ring of a finite group
(2003)In this paper we find upper bounds for the nilpotency degree of some ideals in the cohomology ring of a finite group by studying fixed point free actions of the group on suitable spaces. The ideals we study are the kernels ...