(1) Wydzia Matematyki i Informatyki, Uniwersytet im. Adama Mickiewicza w Poznaniu, ul. Jana Matejki 48/49, PL-60-769 Pozna, Poland. e-mail
Abstract:
The paper presents a procedure for constructing smooth actions of finite perfect groups on spheres with fixed point sets having certain prescribed properties (Theorem A); in particular, having any prescribed configuration of Chern and Pontryagin numbers (Corollary C). The main ingredients used are equivariant thickening and equivariant surgery.