Enumerating Regular Objects associated with Suzuki Groups

2013/09/20 by Downs, Martin, Jones, Gareth A.
#05A15 #05C10 #05E18 #14H57 #20B25 (primary) #20D06 (secondary) #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1309.5215

Abstract

We use the Möbius function of the simple Suzuki group Sz(q) to enumerate regular objects such as maps, hypermaps, dessins d'enfants and surface coverings with automorphism groups isomorphic to Sz(q).

Related

• Combinatorial categories and permutation groups
• Hypermaps and multiply quasiplatonic Riemann surfaces
• Regular dessins with a given automorphism group
• On the Zeta function and the automorphism group of the generalized Suzuki curve
• Suzuki-invariant codes from the Suzuki curve