60 citations · 145 across the 38 of their papers we have counts for
4 papers · 2 filters
Regular dessins with a given automorphism group
Gareth A. Jones
Dessins d'enfants are combinatorial structures on compact Riemann surfaces defined over algebraic number fields, and regular dessins are the most symmetric of them. If G is a finit…
Enumerating Regular Objects associated with Suzuki Groups
Martin Downs, Gareth A. Jones
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 i…
Characteristically simple Beauville groups, II: low rank and sporadic groups
Gareth A. Jones
A Beauville surface is a rigid complex surface of general type, isogenous to a higher product by the free action of a finite group, called a Beauville group. Here we consider which…
Characteristically simple Beauville groups, I: cartesian powers of alternating groups
Gareth A. Jones
A Beauville surface (of unmixed type) is a complex algebraic surface which is the quotient of the product of two curves of genus at least 2 by a finite group G acting freely on the…