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\(S^ 4\) does not have one fixed point actions

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Publication:1814048
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zbMath0736.57018MaRDI QIDQ1814048

Masaharu Morimoto

Publication date: 25 June 1992

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

compact Lie groupP. A. Smith theory for subgroups of \(O(4)\)smooth actions on the 4-sphere with exactly one fixed point


Mathematics Subject Classification ID

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


Related Items (3)

Spheres not admitting smooth odd-fixed-point actions of \(S_5\) and \(SL(2, 5)\) ⋮ One fixed point actions on low-dimensional spheres ⋮ Most standard spheres have smooth one fixed point actions of \(A_ 5\). II




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