The Extended Mapping Class Group Can Be Generated by Two Torsions

Abstract

Let $S_g$ be the closed oriented surface of genus g and let ${\text{Mod}}^{\pm }(S_g)$ be the extended mapping class group of $S_g$. When the genus is at least 5, we prove that ${\text{Mod}}^{\pm }(S_g)$ can be generated by two torsion elements. One of these generators is an order 2 element, and the other one is an order 4g+2 element.

8 pages, 7 figures. arXiv admin note: text overlap with arXiv:1506.04396

References in corpus (2)

• Generating Mapping Class Groups by Involutions
• The extended mapping class group is generated by three symmetries

Cited by in corpus (1)

• Hybrid Weyl Semimetal