Nonexistence of smooth effective one fixed point actions of finite Oliver groups on low-dimensional spheres
Tom 66 / 2018
Bulletin Polish Acad. Sci. Math. 66 (2018), 167-177
MSC: Primary 57S17; Secondary 57S25.
DOI: 10.4064/ba8150-9-2018
Opublikowany online: 28 September 2018
Streszczenie
According to Laitinen and Morimoto (1998), a finite group has a smooth effective one fixed point action on some sphere if and only if G is an Oliver group. For some finite Oliver groups G of order up to 216, and for G=A_5\times C_p, where p=3,5,7, we present a strategy of excluding smooth effective one fixed point G-actions on low-dimensional spheres.
