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Petrie lengths of regular maps

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Publication:1747961
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DOI10.1007/s10474-018-0792-0zbMath1413.05067OpenAlexW2793146677MaRDI QIDQ1747961

S. Ulusan, Melekoğlu, Adnan

Publication date: 27 April 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-018-0792-0


zbMATH Keywords

Riemann surfaceregular mapPetrie polygonPetrie length


Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Planar graphs; geometric and topological aspects of graph theory (05C10)



Uses Software

  • Magma


Cites Work

  • Unnamed Item
  • Unnamed Item
  • The structure of mirrors on regular maps on platonic surfaces
  • Classifying finite group actions on surfaces of low genus
  • Reflections of regular maps and Riemann surfaces
  • The Magma algebra system. I: The user language
  • The group of automorphisms of the Fermat curve
  • The remarkable Accola-Maclachlan surfaces
  • A note on Wiman and Accola-Maclachlan surfaces
  • Theory of Maps on Orientable Surfaces
  • CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE
  • A Bound for the Number of Automorphisms of a Compact Riemann Surface
  • On the Number of Automorphisms of a Closed Riemann Surface
  • Finitely Maximal Fuchsian Groups


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