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This document is a thesis submitted by Zaffar Iqbal to the Abdus Salam School of Mathematical Sciences at GC University Lahore in partial fulfillment of the requirements for a Doctor of Philosophy degree in Mathematics. The thesis investigates combinatorial problems in braid groups, with a focus on computing Garside elements of spherical Artin monoids, determining the Hilbert series of positive braids, and establishing a universal upper bound for the growth of Artin monoids.

Author

Shoaib Bhatti

Language

EN