Actions of Groups of Odd Order on Compact, Orientable Manifolds

DOI10.2307/2040838zbMath0316.57022OpenAlexW4247680426MaRDI QIDQ4077253

Cristián U. Sánchez

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2040838

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Compact Lie groups of differentiable transformations (57S15)

Related Items (17)

On the torus cobordant cohomology spheres ⋮ Representations at fixed points of smooth actions of cyclic groups ⋮ Spheres not admitting smooth odd-fixed-point actions of \(S_5\) and \(SL(2, 5)\) ⋮ Smith equivalent ${\pmb {{\rm {Aut}}(A_6)}}$-representations are isomorphic ⋮ Topological invariants of real algebraic actions ⋮ The Smith set of the group \(S_{5} \times C_{2} \times \dots \times C_{2}\) ⋮ Smith equivalence of representations ⋮ Nontrivial \(\mathcal P(G)\)-matched \(\mathfrak S\)-related pairs for finite gap Oliver groups ⋮ The Laitinen Conjecture for finite solvable Oliver groups ⋮ REMARKS ON DIMENSION OF HOMOLOGY SPHERES WITH ODD NUMBERS OF FIXED POINTS OF FINITE GROUP ACTIONS ⋮ Fixed points of periodic differentiable maps ⋮ The topological rationality of linear representations ⋮ 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

Cites Work

• Torsion et type simple d'homotopie. Exposés faits au Séminaire de Topologie de l'université de Lausanne
• The index of elliptic operators. III
• The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• Whitehead torsion

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