On the rank of Abelian groups acting freely on \((S^n)^k\)

DOI10.1007/BF01389361zbMath0517.57020OpenAlexW2084507736MaRDI QIDQ1053316

Gunnar Carlsson

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142960

zbMATH Keywords

mod p rank of free abelian actions on the k-fold product of an n-sphere

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Finite transformation groups (57S17)

Related Items

Complexity and multiple complexes ⋮ 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 ⋮ Shapes of free resolutions over a local ring ⋮ Free rank of symmetry of products of Dold manifolds ⋮ Gysin-(ℤ/2ℤ)d-functors ⋮ Free actions on products of spheres at high dimensions ⋮ Dimension functions for spherical fibrations ⋮ Möbius transform, moment-angle complexes and Halperin-Carlsson conjecture ⋮ On free \(\mathbb Z_p\)-torus actions in dimensions two and three ⋮ Carlsson's rank conjecture and a conjecture on square-zero upper triangular matrices ⋮ The Trace of an Action and the Degree of a Map ⋮ On the cohomology of free \(p\)-torus actions ⋮ On free \({\mathbb{Z}_{p}}\) actions on products of spheres ⋮ Group actions and group extensions ⋮ Cohomological restrictions on finite group actions ⋮ Free actions on products of spheres: The rational case ⋮ The stable free rank of symmetry of products of spheres ⋮ Cohomology and group actions ⋮ A transfer spectral sequence for fixed point free involutions with an application to stunted real projective spaces ⋮ A NOTE ON FREE ACTIONS OF GROUPS ON PRODUCTS OF SPHERES

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