A finite presentation for the balanced superelliptic handlebody group

2022/06/27 by Omori, Genki, Yoshida, Yuya
#20F05 #57M05 #57M07 #57S05 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2206.13006

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.

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