60 citations · 145 across the 38 of their papers we have counts for
49 papers
Hole operations on Hurwitz maps
Gábor Gévay, Gareth A. Jones
For a given group the orientably regular maps with orientation-preserving automorphism group are used as the vertices of a graph , with undirected and directed edges…
Finite simple automorphism groups of edge-transitive maps
Gareth A. Jones
Building on earlier results for regular maps and for orientably regular chiral maps, we classify the non-abelian finite simple groups arising as automorphism groups of maps in each…
Groups of prime degree and the Bateman-Horn Conjecture
Gareth A. Jones, Alexander K. Zvonkin
As a consequence of the classification of finite simple groups, the classification of permutation groups of prime degree is complete, apart from the question of when the natural de…
Block designs and prime values of polynomials
Gareth A. Jones, Alexander K. Zvonkin
A recent construction by Amarra, Devillers and Praeger of block designs with specific parameters depends on certain quadratic polynomials, with integer coefficients, taking prime p…
Klein's ten planar dessins of degree 11, and beyond
Gareth A. Jones, Alexander K. Zvonkin
We reinterpret ideas in Klein's paper on transformations of degree from the modern point of view of dessins d'enfants, and extend his results by considering dessins of type $(…
Hurwitz groups as monodromy groups of dessins: several examples
Gareth A. Jones, Alexander K. Zvonkin
We present a number of examples to illustrate the use of small quotient dessins as substitutes for their often much larger and more complicated Galois (minimal regular) covers. In…