Finite presentations for the balanced superelliptic mapping class groups
Geometric Topology
2022-06-07 v2 Algebraic Topology
Group Theory
Abstract
The balanced superelliptic mapping class group is the normalizer of the transformation group of the balanced superelliptic covering space in the mapping class group of the total surface. We give finite presentations for the balanced superelliptic mapping class groups of closed surfaces, surfaces with one marked point, and surfaces with one boundary component. To give these presentations, we construct finite presentations for corresponding liftable mapping class groups in a different generating set from Ghaswala-Winarski's presentation in \cite{Ghaswala-Winarski1}.
Cite
@article{arxiv.2203.13413,
title = {Finite presentations for the balanced superelliptic mapping class groups},
author = {Susumu Hirose and Genki Omori},
journal= {arXiv preprint arXiv:2203.13413},
year = {2022}
}
Comments
77 pages, 28 figures