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- W2034015969 abstract "Throughout this paper k denotes an algebraically closed field of characteristic p > 0, G denotes a finite group, B denotes a p -block of G corresponding to the indecomposable algebra summand kB of kG , D denotes a defect group of B (it is unique up to conjugacy in G ), p denotes the p -rank of D (that is, the maximum of the ranks of its elementary abelian p -subgroups) and S , T denote kB -modules. A graded polynomial subalgebra R of H ∗ (G, k) is specified by taking p algebraically independent canonical homogeneous elements, which are certain Chern classes, to be its generators. A spectral sequence is constructed with Ext R ∗∗ ( Ext kB ∗ (S, T), R ) as its E 2 term and with Ext kB ∗ (T, S) , with a displaced grading, as its abutment. The latter is thus naturally filtered. A brief account of the relevant algebraic topology, commutative algebra and homological algebra is given." @default.
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- W2034015969 date "1984-06-01" @default.
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- W2034015969 title "Spectral duality for block cohomology" @default.
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- W2034015969 doi "https://doi.org/10.1016/0021-8693(84)90068-1" @default.
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