Self-dual, self-Petrie-dual and Möbius regular maps on linear fractional groups

DOI10.26493/2590-9770.1263.86ezbMath1441.05101arXiv1807.11307OpenAlexW3080853516MaRDI QIDQ5121548

Katarína Hriňáková, Grahame Erskine, Olivia Reade Jeans

Publication date: 15 September 2020

Published in: The Art of Discrete and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.11307

zbMATH Keywords

regular mapexternal symmetryself-dual mapself-Petrie-dual mapMöbius regular map

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Uses Software

• GAP

Cites Work

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• Möbius regular maps
• A course on finite groups.
• Groups related to compact Riemann surfaces
• How symmetric can maps on surfaces be?
• Trinity symmetry and kaleidoscopic regular maps
• Theory of Maps on Orientable Surfaces
• Regular self-dual and self-Petrie-dual maps of arbitrary valency
• REGULAR HYPERMAPS OVER PROJECTIVE LINEAR GROUPS

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