Stylianakis, C. (2018) Congruence subgroups of braid groups. International Journal of Algebra and Computation, 28(2), pp. 345-364. (doi: 10.1142/s0218196718500169)
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159155.pdf - Accepted Version 590kB |
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.
| Item Type: | Articles |
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| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Stylianakis, Mr Charalampos |
| Authors: | Stylianakis, C. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics |
| Journal Name: | International Journal of Algebra and Computation |
| Publisher: | World Scientific Publishing Company |
| ISSN: | 0218-1967 |
| ISSN (Online): | 1793-6500 |
| Published Online: | 12 March 2018 |
| Copyright Holders: | Copyright © 2018 World Scientific Publishing Company |
| First Published: | First published in International Journal of Algebra and Computation 28(2):345-364 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
| Related URLs: |
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