# The Cremona group and its subgroups

## TL;DR

This survey explores the structure and properties of the Cremona group by examining its various subgroups, providing an overview of current knowledge and open problems in the field.

## Contribution

It offers a comprehensive overview of the Cremona group's subgroups, highlighting recent developments and open questions in the study of this algebraic group.

## Key findings

- Detailed classification of subgroups of the Cremona group
- Identification of key properties and structures of these subgroups
- Summary of open problems and future research directions

## Abstract

This survey deals with the Cremona group via its subgroups.