Congruence subgroups of braid groups

Charalampos Stylianakis

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arXiv · 1609.05673

Congruence subgroups of braid groups

Charalampos Stylianakis

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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 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 3 strands.

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Charalampos Stylianakis. 2016-09-19. Congruence subgroups of braid groups. https://arxiv.org/abs/1609.05673

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