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2 results on '"11G30, 14H37, 20F36"'

1. Group Actions on cyclic covers of the projective line

Author

Kontogeorgis, Aristides and Paramantzoglou, Panagiotis

Subjects
Mathematics - Number Theory, Mathematics - Algebraic Geometry, 11G30, 14H37, 20F36
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., Comment: 23 pages

Published
2018
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2. Group Actions on cyclic covers of the projective line

Author

Panagiotis Paramantzoglou and Aristides Kontogeorgis

Subjects
11G30, 14H37, 20F36, Mathematics - Number Theory, 010102 general mathematics, Order (ring theory), Absolute Galois group, Combinatorial group theory, 01 natural sciences, Mapping class group, Combinatorics, Mathematics - Algebraic Geometry, Group action, Projective line, 0103 physical sciences, FOS: Mathematics, Number Theory (math.NT), 010307 mathematical physics, Geometry and Topology, Compact Riemann surface, 0101 mathematics, Algebraic Geometry (math.AG), Mathematics, Projective geometry
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., Comment: 23 pages

Published
2019

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