An infinite presentation for the mapping class group of a non-orientable surface

TL;DR

This paper introduces an infinite set of generators for the mapping class group of a non-orientable surface, including all Dehn twists and crosscap pushing maps, providing a new algebraic framework.

Contribution

It presents the first infinite presentation for the mapping class group of a non-orientable surface, expanding understanding of its algebraic structure.

Findings

Generated the entire group using Dehn twists and crosscap pushing maps

Provided a comprehensive infinite presentation for the group

Enhanced algebraic understanding of non-orientable surface symmetries

Abstract

We give an infinite presentation for the mapping class group of a non-orientable surface. The generating set consists of all Dehn twists and all crosscap pushing maps along simple loops.