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Congruence subgroups of braid groups

Charalampos Stylianakis

Department of Mathematics and Statistics, University of Glasgow, Glasgow G12 8QW, UK

E-mail Address: stylianakisy2009@gmail.com

https://doi.org/10.1142/S0218196718500169Cited by:4 (Source: Crossref)

Abstract

In this paper, we give a description of the generators of the prime level congruence subgroups of braid groups. Also, we give a new presentation of the symplectic group over a finite field, and we calculate the symmetric quotients of the prime level congruence subgroups of braid groups. Finally, we find a finite generating set for the level-3 congruence subgroup of the braid group on three strands.

Communicated by A. Shalev

Keywords:

AMSC: 20F36, 20F65, 20F05

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