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 | |
| Publication status | Published - Mar 1 2005 |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
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Cite this
Bak, A., & Morimoto, M. (2005). The dimension of spheres with smooth one fixed point actions. Forum Mathematicum, 17(2), 199-216. https://doi.org/10.1515/form.2005.17.2.199