Spherical isotropy representations

DOI10.1007/BF02698806zbMath0585.57020MaRDI QIDQ1070592

Ted Petrie, John D. Randall

Publication date: 1985

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1985__62__5_0

zbMATH Keywords

pointsfinite group actions on homotopy spheresSmith equivalent fixed

Mathematics Subject Classification ID

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

Related Items (7)

Smith equivalent ${\pmb {{\rm {Aut}}(A_6)}}$-representations are isomorphic ⋮ Topological invariants of real algebraic actions ⋮ 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 ⋮ 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

Cites Work

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• Characters and cohomology of finite groups
• Smith equivalence of representations for odd order cyclic groups
• One fixed point actions on spheres. I,II
• Induction and structure theorems for orthogonal representations of finite groups
• Fixed points of periodic differentiable maps
• A Lefschetz fixed point formula for elliptic complexes. I
• Lectures on polyhedral topology
• Smith equivalence of representations
• New results and old problems in finite transformation groups
• An Induction Theorem for Equivariant Surgery (G-Surgery III)
• Immersions of Manifolds
• Actions of Groups of Odd Order on Compact, Orientable Manifolds
• SPHERES AS FIXED POINT SETS
• Whitehead torsion

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