Finite presentations for the balanced superelliptic mapping class groups

Susumu Hirose; Genki Omori

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arXiv · 2203.13413

Finite presentations for the balanced superelliptic mapping class groups

Susumu Hirose·Genki Omori

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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}.

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BibTeX RIS

Susumu Hirose, Genki Omori. 2022-03-25. Finite presentations for the balanced superelliptic mapping class groups. https://arxiv.org/abs/2203.13413

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