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...s f : W → V with the property that if U is any subgroup of W of rank at most n, the restriction of f to U is given by conjugation by some element of G. Corollary 5.6, together with the main result of =-=[12]-=-, now gives Theorem 5.7 For a finite group G there is a homeomorphism of varieties □ var(Ch E(n)(G)) ∼ = colim V ∈A (n) var(H (G) ∗ (V )). □ We can now also explain the relationship between Ch E(1)(X)...

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...tic filtration of stable homotopy theory and a stratification of the algebraic variety associated to the cohomology of a finite group which was made explicit by the work of Green, Hunton and Schuster =-=[4]-=-. The purpose of this paper is to investigate generalizations of this theory, by exploiting the theory of unstable algebras over the Steenrod algebra for singular cohomology with coefficients in a pri...

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.... [In some sense the chromatic filtration and the AtiyahSwan filtration of ordinary cohomology by size of supporting elementary abelian subgroups are aspects of some common underlying phenomenon; see =-=[5,6]-=- for recent work on the latter topic.] The advantage of cobordism lies in its naturality: its cycles are geometric objects, which carry characteristic class data (for example, of the sort familiar to ...

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...tic filtration of stable homotopy theory and a stratification of the algebraic variety associated to the cohomology of a finite group which was made explicit by the work of Green, Hunton and Schuster =-=[4]-=-. The purpose of this paper is to investigate generalizations of this theory, by exploiting the theory of unstable algebras over the Steenrod algebra for singular cohomology with coefficients in a pri...

Citation Context

...tic filtration of stable homotopy theory and a stratification of the algebraic variety associated to the cohomology of a finite group which was made explicit by the work of Green, Hunton and Schuster =-=[4]-=-. The purpose of this paper is to investigate generalizations of this theory, by exploiting the theory of unstable algebras over the Steenrod algebra for singular cohomology with coefficients in a pri...