Genus Bounds for Harmonic Group Actions on Finite Graphs

DOI10.1093/imrn/rnq261zbMath1232.05108arXiv1006.0446OpenAlexW3103504949MaRDI QIDQ3097880

Scott Corry

Publication date: 10 November 2011

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0446

zbMATH Keywords

genus bounds for the maximal size of an automorphism group of a compact Riemann surface of genus \(g\geq 2\)

Mathematics Subject Classification ID

Paths and cycles (05C38) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (13)

Two Moore’s Theorems for Graphs ⋮ Harmonic morphisms of graphs and the Riemann-Hurwitz theorem ⋮ Klein Four Actions on Graphs and Sets ⋮ On discrete versions of two Accola's theorems about automorphism groups of Riemann surfaces ⋮ Abelian tropical covers ⋮ Critical groups of graphs with dihedral actions ⋮ Fixed points of cyclic groups acting purely harmonically on a graph ⋮ On automorphisms of graphs and Riemann surfaces acting with fixed points ⋮ Critical groups of graphs with dihedral actions. II. ⋮ Maximal harmonic group actions on finite graphs ⋮ On the Oikawa and Arakawa theorems for graphs ⋮ On Wiman's theorem for graphs ⋮ A generalization of Hurwitz' theorem for groups acting on a graph

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