Group actions on rational homology spheres (Q810929)

The author studies the homology of the fixed point set on a rational homology sphere under the action of a finite group. He gives some bounds on the genus of the fixed surfaces, depending on the number of trivial and cyclotomic factors appearing in the representation of the group. He also constructs actions of cyclic groups of prime order p on \({\mathbb{Z}}[1/p]\) homology spheres such that the fixed point set consists of points and surfaces of arbitrarily large genus.