Most standard spheres have smooth one fixed point actions of \(A_ 5\). II

DOI10.1007/BF00569451zbMath0736.57017MaRDI QIDQ1814105

Masaharu Morimoto

Publication date: 25 June 1992

Published in: \(K\)-Theory (Search for Journal in Brave)

zbMATH Keywords

equivariant surgerysurgery obstruction groupsG-surgery theoryonly one fixed pointsmooth actions by the alternating group \(A_ 5\)standard spheres

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Groups acting on specific manifolds (57S25) Finite transformation groups (57S17) Surgery obstructions, Wall groups (57R67)

Related Items

\(K\)-theoretic groups with positioning map and equivariant surgery, Induction theorems of surgery obstruction groups, Equivariant surgery theory: Construction of equivariant normal maps, $\mathrm {SL}(2, 5)$ 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, Open problems in topology., Equivariant Intersection Theory and Surgery Theory for Manifolds with Middle Dimensional Singular Sets, Open problems in topology, seventh status report, Bak groups and equivariant surgery. II, REMARKS ON DIMENSION OF HOMOLOGY SPHERES WITH ODD NUMBERS OF FIXED POINTS OF FINITE GROUP ACTIONS, A geometric quadratic form of \(3\)-dimensional normal maps, Tangential representations of one-fixed-point actions on spheres and Smith equivalence

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