Classification of regular maps of negative prime Euler characteristic

Breda d'Azevedo, Antonio; Nedela, Roman and Siran, Jozef (2005). Classification of regular maps of negative prime Euler characteristic. Transactions of the American Mathematical Society, 357(10) pp. 4175–4190.

DOI: https://doi.org/10.1090/S0002-9947-04-03622-0

Abstract

We give a classification of all regular maps on nonorientable surfaces with a negative odd prime Euler characteristic (equivalently, on nonorientable surfaces of genus p + 2 where p is an odd prime). A consequence of our classification is that there are no regular maps on nonorientable surfaces of genus p + 2 where p is a prime such that p ≡ 1 (mod 12) and p ≠ 13.

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