# Free Finite Group Actions on Rational Homology 3--Spheres

## TL;DR

This paper characterizes finite groups capable of acting freely and trivially on the homology of rational homology 3-spheres using group cohomology methods.

## Contribution

It provides a classification of such finite groups based on cohomological techniques, advancing understanding of group actions on 3-manifolds.

## Key findings

- Identifies finite groups with free, homologically trivial actions on rational homology 3-spheres.
- Uses cohomology of groups to derive conditions for such actions.
- Contributes to the classification of group actions in 3-manifold topology.

## 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.