A finite presentation for the balanced superelliptic handlebody group
Geometric Topology
2022-06-28 v1 Algebraic Topology
Group Theory
Abstract
The balanced superelliptic handlebody group is the normalizer of the transformation group of the balanced superelliptic covering space in the handlebody group of the total space. We give a finite presentation for the balanced superelliptic handlebody group. To give this presentation, we construct a finite presentation for the liftable Hilden group.
Cite
@article{arxiv.2206.13006,
title = {A finite presentation for the balanced superelliptic handlebody group},
author = {Genki Omori and Yuya Yoshida},
journal= {arXiv preprint arXiv:2206.13006},
year = {2022}
}
Comments
48 pages, 27 figures. arXiv admin note: text overlap with arXiv:2203.13413