# Finite subgroups of PGL(2,K)

## TL;DR

This paper classifies finite subgroups of PGL(2,K) with order prime to the characteristic of K, providing a comprehensive understanding of their conjugacy classes.

## Contribution

It offers a complete classification of finite subgroups of PGL(2,K) up to conjugacy for groups of order prime to char(K).

## Key findings

- Classification of finite subgroups up to conjugacy
- Identification of subgroup structures in PGL(2,K)
- Results applicable to algebraic and geometric contexts

## Abstract

We classify, up to conjugacy, the finite subgroups of PGL(2,K) of order prime to char(K).