# Mapping class group is generated by three involutions

## TL;DR

This paper proves that the mapping class group of a high-genus surface can be generated by only three involutions, simplifying the understanding of its algebraic structure.

## Contribution

It establishes that for surfaces of genus at least eight, the entire mapping class group is generated by just three involutions, a significant reduction from previous generating sets.

## Key findings

- Mapping class group of genus ≥8 is generated by three involutions
- Simplifies the algebraic structure of the group
- Provides a minimal generating set for high-genus surfaces

## Abstract

We prove that the mapping class group of a closed connected orientable surface of genus at least eight is generated by three involutions.