Bi-rotary Maps of Negative Prime Characteristic

Breda d’Azevedo, Antonio; Catalano, Domenico A. and Širáň, Jozef (2019). Bi-rotary Maps of Negative Prime Characteristic. Annals of Combinatorics, 23(1) pp. 27–50.



Bi-orientable maps (also called pseudo-orientable maps) were introduced by Wilson in the seventies to describe non-orientable maps with the property that opposite orientations can consistently be assigned to adjacent vertices. In contrast to orientability, which is both a combinatorial and topological property, bi-orientability is only a combinatorial property. In this paper we classify the bi-orientable maps whose local-orientation-preserving automorphism groups act regularly on arcs, called here bi-rotary maps, of negative prime Euler characteristic. Unlike other classification results for highly symmetric maps on such surfaces we do not use the Gorenstein-Walter result on the structure of groups with dihedral Sylow 2-subgroups.

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  • Item ORO ID
  • 55809
  • Item Type
  • Journal Item
  • ISSN
  • 0219-3094
  • Project Funding Details
  • Funded Project NameProject IDFunding Body
    Not SetAPVV 17-0428Not Set
    Not SetAPVV-15-0220Not Set
    Not SetVEGA 1/0026/16Not Set
    Not SetVEGA 1/0142/17Not Set
  • Keywords
  • prime characteristic; pseudo-orientable; maps
  • Academic Unit or School
  • Faculty of Science, Technology, Engineering and Mathematics (STEM)
  • Copyright Holders
  • © 2019 The Authors
  • Depositing User
  • Jozef Širáň