Classification of regular maps of Euler characteristic -3p

Authors:
Marston Conder;Roman Nedela;Jozef ŠIráň
Affiliations:
University of Auckland, Auckland, New Zealand;Slovak Academy of Sciences, Banská Bystrica, Slovakia;Open University, Milton Keynes, UK and Slovak University of Technology, Bratislava, Slovakia
Venue:
Journal of Combinatorial Theory Series B
Year:
2012

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Abstract

In an earlier paper by A. Breda, R. Nedela and J. Siran, a classification was given of all regular maps on surfaces of negative prime Euler characteristic. In this article we extend the classification to surfaces with Euler characteristic -3p (equivalently, to non-orientable surfaces of genus 3p+2) for all odd primes p.