Classification of regular maps of negative prime Euler characteristic
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- by Antonio Breda d’Azevedo, Roman Nedela and Jozef Širáň PDF
- Trans. Amer. Math. Soc. 357 (2005), 4175-4190 Request permission
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 $p\equiv 1$ (mod $12$) and $p\ne 13$.References
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Additional Information
- Antonio Breda d’Azevedo
- Affiliation: Departamento de Matematica, Universidade de Aveiro, Aveiro, Portugal
- Email: breda@mat.ua.pt
- Roman Nedela
- Affiliation: Institute of Mathematics, Slovak Academy of Science, Banská Bystrica, Slovakia
- MR Author ID: 262779
- Email: nedela@savbb.sk
- Jozef Širáň
- Affiliation: Department of Mathematics, SvF, Slovak Univ. of Technology, Bratislava, Slovakia
- Email: siran@math.sk
- Received by editor(s): April 9, 2003
- Received by editor(s) in revised form: December 11, 2003
- Published electronically: November 4, 2004
- Additional Notes: The authors thank the Department of Mathematics of the University of Aveiro and the Research Unit “Matemática e Aplicações” for supporting this project.
The second author acknowledges support from the VEGA Grant No. 2/2060/22 and from the APVT Grant No. 51-012502.
The third author was sponsored by the U.S.-Slovak Science and Technology Joint Fund under Project Number 020/2001, and also in part by the VEGA Grant No. 1/9176/02 and the APVT Grant No. 20-023302. - © Copyright 2004 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 357 (2005), 4175-4190
- MSC (2000): Primary 05C10; Secondary 57M15, 57M60, 20F65, 05C25
- DOI: https://doi.org/10.1090/S0002-9947-04-03622-0
- MathSciNet review: 2159705