[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2016.53.2.601

A FINITE PRESENTATION FOR THE TWIST SUBGROUP OF THE MAPPING CLASS GROUP OF A NONORIENTABLE SURFACE

Stukow, Michal (Institute of Mathematics, University of Gdansk)

Publication Information

Bulletin of the Korean Mathematical Society / v.53, no.2, 2016 , pp. 601-614 More about this Journal

Abstract

Let $N_{g,s}$ denote the nonorientable surface of genus g with s boundary components. Recently Paris and Szepietowski [12] obtained an explicit finite presentation for the mapping class group $\mathcal{M}(N_{g,s})$ of the surface $N_{g,s}$ , where $s{\in}\{0,1\}$ and g + s > 3. Following this work, we obtain a finite presentation for the subgroup $\mathcal{T}(N_{g,s})$ of $\mathcal{M}(N_{g,s})$ generated by Dehn twists.

Keywords

mapping class group; nonorientable surface; twist subgroup; presentation;

Citations & Related Records

Reference

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