A counterexample to a conjecture of Steenrod
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Publication:1160943
DOI10.1007/BF01393939zbMath0477.55007WikidataQ123160513 ScholiaQ123160513MaRDI QIDQ1160943
Publication date: 1981
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142818
equivariant Moore spacemodule over the Steenrod algebraSteenrod's conjectureZ(G)-free resolution of Z
Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Finite transformation groups (57S17) Homotopy theory (55P99)
Related Items (21)
Equivariant Homology Decompositions ⋮ Multiplicativity and nonrealizable equivariant chain complexes ⋮ A solution of the Steenrod problem for G-Moore spaces ⋮ Borel’s rank theorem for Artin 𝐿-functions ⋮ The cohomology of homotopy categories and the general linear group ⋮ Integral representations of finite transformation groups. I ⋮ Group cohomology and equivariant Moore spaces ⋮ The Postnikov Tower and the Steenrod problem ⋮ Steenrod's equivariant Moore space problem for cohomologically trivial modules ⋮ Varieties in finite transformation groups ⋮ Homology and Cell Structure of Nilpotent Spaces ⋮ Permutation complexes and modular representation theory ⋮ Compatible actions and cohomology of crystallographic groups. ⋮ Equivariant Moore spaces and the Dade group ⋮ CERTAIN MODULES OVER (Z/p)m AND THEIR RELATION TO STEENROD'S PROBLEM ⋮ Generalized Toda Brackets and Equivariant Moore Spectra ⋮ On the realizability of group actions ⋮ Betti numbers of fixed point sets and multiplicities of indecomposable summands ⋮ Varieties for modules and a problem of Steenrod ⋮ On the rank of Abelian groups acting freely on \((S^n)^k\) ⋮ Topological realizations of chain complexes. I: The general theory
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