Productive elements in group cohomology

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Productive Elements in Group Cohomology

LetG be a finite group and k be a field of characteristic p > 0. A cohomology class ζ ∈ H(G, k) is called productive if it annihilates Ext∗kG(Lζ , Lζ). We consider the chain complexP(ζ) of projective kG-modules which has the homology of an (n−1)-sphere and whose k-invariant is ζ under a certain polarization. We show that ζ is productive if and only if there is a chain map ∆ : P(ζ) → P(ζ) ⊗ P(ζ)...

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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.a15