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A finite presentation for the balanced superelliptic handlebody group

Department of Materials Science and Engineering, College of Engineering, Shibaura Institute of Technology, 307 Fukasaku, Minuma-ku, Saitama-shi, Saitama, 337-8570, Japan

E-mail Address: omori@sic.shibaura-it.ac.jp

Corresponding author.

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and

Yuya Yoshida

Future Architect, Inc., 1-2-2 Osaki, Shinagawa-ku, Tokyo, 141-0032, Japan

E-mail Address: mathmathyuya@yahoo.co.jp

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https://doi.org/10.1142/S1793525323500449Cited by:0 (Source: Crossref)

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.

Keywords:

AMSC: 57S05, 57M07, 57M05, 20F05