Group actions on spheres
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1 Introduction
In 1946, Montgomery and Samelson [Montgomery&Samelson1946] made a comment, that when a compact group acts smoothly on a sphere in such a way as to have one fixed point, it is likely, that there must be a second fixed point.
2 History
3 References
- [Montgomery&Samelson1946] D. Montgomery and H. Samelson, Fiberings with singularities, Duke Math. J. 13 (1946), 51–56. MR0015794 (7,471a) Zbl 0060.41501