Smith equivalence of representations

DOI10.1017/S0305004100060928zbMath0526.57026MaRDI QIDQ3040158

Ted Petrie

Publication date: 1983

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

equivariant homotopy theoryK-theoryAdams operationscyclic group actionsequivariant surgery theorytransversality theorygroup which acts smoothly and semilinearly on homotopy sphereJ homomorphisms-Smith equivalent representationstangential representations at fixed points

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Equivariant homology and cohomology in algebraic topology (55N91) Finite transformation groups (57S17) Topological (K)-theory (55N15) Equivariant homotopy groups (55Q91) (J)-morphism (55Q50)

Related Items

A new family of finite Oliver groups satisfying the Laitinen Conjecture ⋮ Smith equivalent ${\pmb {{\rm {Aut}}(A_6)}}$-representations are isomorphic ⋮ Topological invariants of real algebraic actions ⋮ Nontrivial \(\mathcal P(G)\)-matched \(\mathfrak S\)-related pairs for finite gap Oliver groups ⋮ Group actions with inequivalent representations at fixed points ⋮ Tangential representations of one-fixed-point actions on spheres and Smith equivalence ⋮ Nonlinear analogs of linear group actions on spheres ⋮ Smith equivalence and finite Oliver groups with Laitinen number 0 or 1 ⋮ Spherical isotropy representations

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