Smith equivalence of representations for odd order cyclic groups

DOI10.1016/0040-9383(85)90003-5zbMath0597.57014OpenAlexW2043614253MaRDI QIDQ1079237

Ted Petrie, Karl Heinz Dovermann

Publication date: 1985

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(85)90003-5

zbMATH Keywords

equivariant surgerycompact Lie group actiontorsion invariantshomotopy spheresAtiyah-Singer G- signaturecyclic actions on surfaces with exactly one fixed pointdifferentiable actionsodd order cyclic groupsprojective class groupsSmith equivalent fixed points

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Equivariant algebraic topology of manifolds (57R91) Surgery and handlebodies (57R65) Finite transformation groups (57S17)

Related Items (8)

On the torus cobordant cohomology spheres ⋮ 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 ⋮ Smith equivalence and finite Oliver groups with Laitinen number 0 or 1 ⋮ Spherical isotropy representations

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