Abstract
The congruence subgroups of braid groups arise from a congruence condition on the integral Burau representation B n → G L n ( Z ) B_n \to GL_{n}(\mathbb {Z}) . We find the image of such congruence subgroups in G L n ( Z ) GL_{n}(\mathbb {Z}) —an open problem posed by Dan Margalit. Additionally, we characterize the quotients of braid groups by their congruence subgroups in terms of symplectic congruence subgroups.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Proceedings of the American Mathematical Society, Series B
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
