# Singularities of the Moduli Space of n Unordered Points on the Riemann Sphere

## TL;DR

This paper classifies the finite groups linked to singularities in the moduli space of unordered points on the Riemann sphere and provides an algorithmic realization of this classification.

## Contribution

It offers a complete classification of finite groups related to these singularities and introduces an algorithm to realize this classification.

## Key findings

- Classification of finite groups associated with singularities
- Development of an algorithm for realization
- Enhanced understanding of moduli space singularities

## Abstract

We classify the finite groups associated to the singularities of the moduli space of $n/ge5$ unordered points on the Riemann sphere. We also realize the classification by an algorithm.