English

Generating twist subgroup of mapping class group of non-orientable surface by involutions

Geometric Topology 2022-12-19 v2

Abstract

Let NgN_{g} denote the closed non-orientable surface of genus gg and let Mg{\mathcal M} _g denote the mapping class group of NgN_{g}. Let Tg{\mathcal T} _g denote the twist subgroup of Mg{\mathcal M} _g which is the subgroup of Mg{\mathcal M} _g is generated by all Dehn twists. In this thesis, we proved that Tg{\mathcal T} _g is generated by six involutions for g16g \geq 16 or g=14g = 14.

Keywords

Cite

@article{arxiv.1902.06842,
  title  = {Generating twist subgroup of mapping class group of non-orientable surface by involutions},
  author = {Kazuya Yoshihara},
  journal= {arXiv preprint arXiv:1902.06842},
  year   = {2022}
}

Comments

8 pages, 15 figures