Let $G$ be a finite Oliver group. In this paper, we discuss the relation between tangential $G$-representations of smooth one-fixed-point actions on spheres and the Smith equivalence of real $G$-representations.
Masaharu MORIMOTO. "Tangential representations of one-fixed-point actions on spheres and Smith equivalence." J. Math. Soc. Japan 67 (1) 195 - 205, January, 2015. https://doi.org/10.2969/jmsj/06710195