A minimal generating set of the level 2 mapping class group of a non-orientable surface

TL;DR

This paper constructs a minimal generating set for the level 2 mapping class group of nonorientable surfaces and determines its abelianization for genus g ≥ 4, advancing understanding of their algebraic structure.

Contribution

It provides the first explicit minimal generating set and abelianization for these groups, which were previously not fully understood.

Findings

Explicit minimal generating set constructed

Abelianization determined for genus g ≥ 4

Enhanced understanding of algebraic structure of the groups

Abstract

We construct a minimal generating set of the level 2 mapping class group of a nonorientable surface of genus $g$, and determine its abelianization for $g\ge4$.