Finite quotients of full surface braid groups and complex surfaces of general type: cyclic, dihedral, and extra-special quotients

Massimiliano Alessandro, Michelangelo Migliano, Francesco Polizzi

Let ${\mathsf{B}}_2({\Sigma }_g)$ be the full braid group on two strings on a compact Riemann surface of genus $g$. We compute the number of finite cyclic, dihedral and extra-special quotien…