Non-orientable regular maps of a given type over linear fractional groups

Širáň, Jozef (2010). Non-orientable regular maps of a given type over linear fractional groups. Graphs and Combinatorics, 26(4) pp. 597–602.

DOI: https://doi.org/10.1007/s00373-010-0935-8

Abstract

It is known that for any given k and m such that 1/k + 1/m < 1/2 there exist infinitely many regular maps M of valence k and face length m on orientable surfaces such that the automorphism group of M is isomorphic to a linear fractional group over a finite field. We examine the pairs (k, m) for which this result can be extended to regular maps on non-orientable surfaces.

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