The fixed point set of a finite group action on a homotopy four sphere

zbMath0682.57022MaRDI QIDQ1824252

Stefano De Michelis

Publication date: 1989

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

finite group actionfixed setSmith equivalent fixed pointslocally linear action4-dimensional \({\mathbb{Z}}\) homology sphere

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Finite transformation groups (57S17)

Related Items (7)

$\mathrm {SL}(2, 5)$ 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 ⋮ One fixed point actions on low-dimensional spheres ⋮ Centers of disks in Riemannian manifolds ⋮ REMARKS ON DIMENSION OF HOMOLOGY SPHERES WITH ODD NUMBERS OF FIXED POINTS OF FINITE GROUP ACTIONS

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