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

URL: http://www.ams.org/tran/2005-357-10/S0002-9947-04-...

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 .

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About

• Item ORO ID
• 8078
• Item Type
• Journal Item
• ISSN
• 1088-6850
• Extra Information
• (First published in Transactions of the American Mathematical Society in volume 357 and number 100, 2005, published by the American Mathematical Society)
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Depositing User
• Jozef Širáň