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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.

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DOI (Digital Object Identifier) Link: https://doi.org/10.1007/s00026-019-00421-2
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Abstract

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.

Item Type: Journal Item
Copyright Holders: 2019 The Authors
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/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 55809
Depositing User: Jozef Širáň
Date Deposited: 16 Jul 2018 09:18
Last Modified: 23 Jan 2020 02:31
URI: http://oro.open.ac.uk/id/eprint/55809
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