Group Actions on cyclic covers of the projective line

Aristides Kontogeorgis; Panagiotis Paramantzoglou

doi:10.1007/s10711-019-00501-w

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arXiv · 1804.07021

Group Actions on cyclic covers of the projective line

Aristides Kontogeorgis·Panagiotis Paramantzoglou

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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.

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Aristides Kontogeorgis, Panagiotis Paramantzoglou. 2018-04-19. Group Actions on cyclic covers of the projective line. https://doi.org/10.1007/s10711-019-00501-w

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