A generalization of Hurwitz' theorem for groups acting on a graph

DOI10.1134/S1064562415010275zbMath1318.30069OpenAlexW1985980290MaRDI QIDQ2353070

Roman Nedela, Alexander Mednykh, Ilya A. Mednykh

Publication date: 7 July 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562415010275

zbMATH Keywords

graphautomorphism groupgenus of a graph

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (4)

Two Moore’s Theorems for Graphs ⋮ Harmonic morphisms of graphs and the Riemann-Hurwitz theorem ⋮ On automorphisms of graphs and Riemann surfaces acting with fixed points ⋮ On the Oikawa and Arakawa theorems for graphs

Cites Work

• On the Farkas and Accola theorems for graphs
• Covering theory for graphs of groups
• Lifting graph automorphisms by voltage assignments
• On the orders of automorphisms of a closed Riemann surface
• Discrete analogs of Farkas and Accola's theorems on hyperelliptic coverings of a Riemann surface of genus 2
• Genus Bounds for Harmonic Group Actions on Finite Graphs
• Notes on conformal mappings of a Riemann surface onto itself
• Harmonic Morphisms and Hyperelliptic Graphs
• On Lifting the Hyperelliptic Involution
• Automorphisms of compact Riemann surfaces and the vanishing of theta constants
• A Bound for the Number of Automorphisms of a Compact Riemann Surface
• On the Number of Automorphisms of a Closed Riemann Surface
• Automorphism groups of compact Riemann surfaces with invariant subsets

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