# Reductions, Resolutions and the Copolarity of Isometric Group Actions

## TL;DR

This paper investigates the properties of reductions and copolarity in isometric group actions, introducing a resolution construction and providing illustrative examples to deepen understanding of these geometric concepts.

## Contribution

It introduces a novel resolution construction for isometric actions relative to reductions and explores the copolarity, advancing theoretical understanding in geometric group actions.

## Key findings

- Development of a resolution construction for isometric actions
- Analysis of the copolarity in the context of reductions
- Examples illustrating the theoretical concepts

## Abstract

We present some results on reductions and the copolarity of isometric group actions, which we obtained in our thesis. We also describe a resolution construction for isometric actions with respect to a reduction and give examples.