Smooth actions of finite Oliver groups on spheres

DOI10.1016/S0040-9383(02)00008-3zbMath1019.57020MaRDI QIDQ1863514

Masaharu Morimoto, Krzysztof Pawałowski

Publication date: 11 March 2003

Published in: Topology (Search for Journal in Brave)

zbMATH Keywords

fixed point setequivariant surgeryequivariant thickeningOliver groupgap groupOliver obstruction

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Equivariant fiber spaces and bundles in algebraic topology (55R91) Groups acting on specific manifolds (57S25) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Surgery and handlebodies (57R65) Finite transformation groups (57S17) Surgery obstructions, Wall groups (57R67)

Related Items (10)

Induction theorems of surgery obstruction groups ⋮ Fixed-point sets of smooth actions on spheres ⋮ A new family of finite Oliver groups satisfying the Laitinen Conjecture ⋮ Smooth circle actions on highly symmetric manifolds ⋮ Equivariant Intersection Theory and Surgery Theory for Manifolds with Middle Dimensional Singular Sets ⋮ The Smith set of the group \(S_{5} \times C_{2} \times \dots \times C_{2}\) ⋮ Nontrivial \(\mathcal P(G)\)-matched \(\mathfrak S\)-related pairs for finite gap Oliver groups ⋮ Deleting and inserting fixed point manifolds under the weak gap condition ⋮ Tangential representations of one-fixed-point actions on spheres and Smith equivalence ⋮ Smith equivalence and finite Oliver groups with Laitinen number 0 or 1

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