Smith equivalence of representations for finite perfect groups

DOI10.1090/S0002-9939-99-04544-XzbMath0914.57025OpenAlexW1681859576MaRDI QIDQ4216308

Krzysztof Pawałowski, Erkki K. Laitinen

Publication date: 26 October 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04544-x

zbMATH Keywords

representationgroup actionhomotopy spherefinite perfect groupSmith equivalent2-proper action

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Finite transformation groups (57S17)

Related Items (10)

Spheres not admitting smooth odd-fixed-point actions of \(S_5\) and \(SL(2, 5)\) ⋮ A new family of finite Oliver groups satisfying the Laitinen Conjecture ⋮ Smith equivalent ${\pmb {{\rm {Aut}}(A_6)}}$-representations are isomorphic ⋮ 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 ⋮ The Laitinen Conjecture for finite solvable Oliver groups ⋮ A necessary condition for the Smith equivalence of G-modules and its sufficiency ⋮ 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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