Chiral covers of hypermaps

2013/11/18 by Jones, Gareth A.
#05C10 #05C18 #20B25 #20C15 #30F30 #57M10 #Combinatorics (math.CO) #Complex Variables (math.CV) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1311.4355

Abstract

Generalising a conjecture of Singerman, it is shown that there exist orientably regular chiral hypermaps of every non-spherical type. The proof uses the representation theory of automorphism groups acting on homology and on various spaces of differentials. Some examples are given.

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• Chirality Groups of Maps and Hypermaps
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