The dimension of spheres with smooth one fixed point actions

Anthony Bak, Masaharu Morimoto

Research output: Contribution to journalArticle

7 Citations (Scopus)


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 languageEnglish
Pages (from-to)199-216
Number of pages18
JournalForum Mathematicum
Issue number2
Publication statusPublished - Mar 2005


ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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