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Anthony Bak, Masaharu Morimoto

The dimension of spheres with smooth one fixed point actions

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.

Forum Mathematicum, Walter de Gruyter

Print ISSN: 0933-7741
Volume: 17, 03/2005
Pages: 199 - 216

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