Sets of singular points of actions of finite groups by $(S^n)^k$

Abstract

Realizations of integral $D_3$-modules of rank 2 on $(S^n)^k$  for the dihedral groups $D_3$ are studied. Cohomologies of the sets of the singular points of the actions of the semidirect products $\mathbb Z / p \rightthreetimes \mathbb Z / q$ and the quaternion groups $Q$  on $(S^n)^k$  are investigated.