Group Actions on cyclic covers of the projective line
arXiv:1804.07021 · doi:10.1007/s10711-019-00501-w
Abstract
We use tools from combinatorial group theory in order to study actions of three types on groups acting on a curve, namely the automorphism group of a compact Riemann surface, the mapping class group acting on a surface (which now is allowed to have some points removed) and the absolute Galois group $\mathrm{Gal}(\bar{\Q}/\Q)$ in the case of cyclic covers of the projective line.
23 pages