Generating the Level 2 Subgroup by Involutions

TL;DR

This paper identifies a minimal set of involutions that generate the level 2 subgroup of the mapping class group for closed nonorientable surfaces, advancing understanding of their algebraic structure.

Contribution

It provides the first explicit minimal generating set of involutions for the level 2 subgroup in this context.

Findings

Established a minimal involution generating set

Enhanced understanding of the algebraic structure of the subgroup

Contributed to the theory of mapping class groups

Abstract

We obtain a minimal generating set of involutions for the level 2 subgroup of the mapping class group of a closed nonorientable surface.