Compact Lie groups which act on Euclidean space without fixed points

Edmonds, Allan L.; Lee, Ronnie

doi:10.1090/S0002-9939-1976-0420672-1

Compact Lie groups which act on Euclidean space without fixed points
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by Allan L. Edmonds and Ronnie Lee PDF

Proc. Amer. Math. Soc. 55 (1976), 416-418 Request permission

Abstract:

It is shown that a compact Lie group $G$ with identity component ${G_0}$ acts without fixed points on euclidean space if and only if ${G_0}$ is nonabelian or $G/{G_0}$ is not of prime power order, which completes earlier work of P. E. Conner and E. E. Floyd, Conner and D. Montgomery, and W.-C. Hsiang and W.-Y. Hsiang.

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Smooth fixed point free actions of compact Lie groups on disks

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