Free linear actions of finite groups on products of spheres

DOI10.1016/0021-8693(92)90216-9zbMath0797.57010OpenAlexW4213242145MaRDI QIDQ1188151

Urmie Ray

Publication date: 13 August 1992

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90216-9

zbMATH Keywords

finite groupsorthogonal groupcharacteristic rootproduct of spheresfixed point free linear actiongood grouplinear action on the \((n-1)\) unit sphere \(S^n\)non-abelian simple section

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Finite transformation groups (57S17) Representations of groups as automorphism groups of algebraic systems (20F29) Group actions on manifolds and cell complexes in low dimensions (57M60) Finite simple groups and their classification (20D05) Representations of finite groups of Lie type (20C33)

Related Items (2)

Free actions of $p$-groups on products of lens spaces ⋮ Fusion systems and group actions with abelian isotropy subgroups

Cites Work

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• The Modular Permutation Representations of the Known Doubly Transitive Groups
• Endliche Gruppen I
• On the Automorphism Group of A 2-Group
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