The balanced superelliptic mapping class groups are generated by three elements
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 in the mapping class group of the total surface. We prove that the balanced superelliptic mapping class groups with either one marked point, one boundary component, or no marked points and boundary are generated by three elements. To prove this, we also show that its liftable mapping class groups are also generated by three elements. These generating sets are minimal except for several no marked points and boundary cases.
Cite
@article{arxiv.2203.14460,
title = {The balanced superelliptic mapping class groups are generated by three elements},
author = {Genki Omori},
journal= {arXiv preprint arXiv:2203.14460},
year = {2022}
}
Comments
17 pages, 11 figures. arXiv admin note: substantial text overlap with arXiv:2203.13413