On the Non-Existence of Free Actions of Elementary Abelian Groups on Products of Spheres

DOI10.2307/2374182zbMath0454.57028OpenAlexW2066345424MaRDI QIDQ3902201

Gunnar Carlsson

Publication date: 1980

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374182

zbMATH Keywords

non-existence of free actions of elementary Abelian groups on products of spheres

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Finite transformation groups (57S17) Spectral sequences in algebraic topology (55T99)

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Free actions of $p$-groups on products of lens spaces, Finite group actions on products of spheres, The free rank of symmetry of (S n) k, On the torsion of group extensions and group actions, On the homology of finite free \((Z/2)^ n\)-complexes, Free rank of symmetry of products of Dold manifolds, Gysin-(ℤ/2ℤ)d-functors, On the cohomology of Galois groups determined by Witt rings, Möbius transform, moment-angle complexes and Halperin-Carlsson conjecture, Group actions and group extensions, On the rank of Abelian groups acting freely on \((S^n)^k\)