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.

Viewing alternatives

Download history


Public Attention

Altmetrics from Altmetric

Number of Citations

Citations from Dimensions

Item Actions