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The dimension of spheres with smooth one fixed point actions
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Anthony Bak
Published/Copyright:
July 27, 2005
Abstract
The article proves that there are smooth one fixed point actions of the alternating group of degree 5 on the 8-dimensional sphere. It follows that a sphere has a smooth one fixed point action of some finite group if and only if the dimension of the sphere is greater than or equal to 6.
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Published Online: 2005-07-27
Published in Print: 2005-03-11
© de Gruyter
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- On the structure of distributive and Bezout rings with waists
- The dimension of spheres with smooth one fixed point actions
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Articles in the same Issue
- Defect relation for rational functions as targets
- On the structure of distributive and Bezout rings with waists
- The dimension of spheres with smooth one fixed point actions
- Space curves and trisecant lines
- Convergence of Dirichlet forms with changing speed measures on ℝd
- Complex product structures on Lie algebras
- Homogeneous spaces in coincidence theory II
- Holomorphic convexity of complex spaces with 1-convex hypersections
- The Nielsen numbers of Anosov diffeomorphisms on flat Riemannian manifolds
