The dimension of spheres with smooth one fixed point actions

Anthony Bak; Masaharu Morimoto

doi:10.1515/form.2005.17.2.199

The dimension of spheres with smooth one fixed point actions

Anthony Bak, Masaharu Morimoto

Graduate School of Natural Science and Technology

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	199-216
Number of pages	18
Journal	Forum Mathematicum
Volume	17
Issue number	2
DOIs	https://doi.org/10.1515/form.2005.17.2.199
Publication status	Published - Mar 2005

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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title = "The dimension of spheres with smooth one fixed point actions",

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.",

author = "Anthony Bak and Masaharu Morimoto",

note = "Funding Information: Acknowledgement. The second author was partially supported by Grant-in-Aid for Scientific Research (KAKENHI). The first author was partially supported by INTAS 00-566.",

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The dimension of spheres with smooth one fixed point actions

Abstract

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