Free Finite Group Actions on Rational Homology 3--Spheres

2017/06/25 by Adem, Alejandro, Hambleton, Ian
#57M60 #57S17 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1706.08109

Abstract

We use methods from the cohomology of groups to describe the finite groups which can act freely and homologically trivially on closed 3-manifolds which are rational homology spheres.

Related

• A free action of a finite group on 3-sphere equivalent to a linear action
• Lectures on the Cohomology of Finite Groups
• On finite simple groups acting on homology spheres with small fixed point sets
• On finite simple groups acting on homology spheres
• Constructing homologically trivial actions on products of spheres