The dimension of spheres with smooth one fixed point actions

DOI10.1515/form.2005.17.2.199zbMath1101.57018OpenAlexW2028244145MaRDI QIDQ5479120

Masaharu Morimoto, Anthony Bak

Publication date: 6 July 2006

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2005.17.2.199

zbMATH Keywords

one fixed point action

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Witt groups of rings (19G12) Finite transformation groups (57S17) Group actions on manifolds and cell complexes in low dimensions (57M60) Surgery obstructions, Wall groups (57R67) Surgery obstructions ((K)-theoretic aspects) (19J25)

Related Items (10)

Bak's work on theK-theory of rings ⋮ $\mathrm {SL}(2, 5)$ Has no Smooth Effective One-fixed-point Action on $S^8$ ⋮ Spheres not admitting smooth odd-fixed-point actions of \(S_5\) and \(SL(2, 5)\) ⋮ Exclusions of smooth actions on spheres of the non-split extension of \(C_2\) by \(\mathrm{SL}(2,5)\) ⋮ Construction of one-fixed-point actions on spheres of nonsolvable groups. I ⋮ Almost fixed points of finite group actions on manifolds without odd cohomology ⋮ Equivariant Intersection Theory and Surgery Theory for Manifolds with Middle Dimensional Singular Sets ⋮ Centers of disks in Riemannian manifolds ⋮ REMARKS ON DIMENSION OF HOMOLOGY SPHERES WITH ODD NUMBERS OF FIXED POINTS OF FINITE GROUP ACTIONS ⋮ Tangential representations of one-fixed-point actions on spheres and Smith equivalence

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