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Classification of regular maps of negative prime Euler characteristic |
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| Authors: | Antonio Breda d'Azevedo Roman Nedela Jozef Sirá n |
| Institution: | Departamento de Matematica, Universidade de Aveiro, Aveiro, Portugal ; Institute of Mathematics, Slovak Academy of Science, Banská Bystrica, Slovakia ; Department of Mathematics, SvF, Slovak Univ. of Technology, Bratislava, Slovakia |
| 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  where  is an odd prime). A consequence of our classification is that there are no regular maps on nonorientable surfaces of genus  where  is a prime such that  (mod  ) and  . |
| Keywords: | Regular maps nonorientable surfaces quotients of triangle groups prime Euler characteristic |
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