G. Jones

activity

20032021

most citedPrimitive permutation groups containing a cycle

60 citations · 145 across the 38 of their papers we have counts for

collaborators

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5 papers · 1 filter

math.AG2020

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…

math.AG2020

Groups of automorphisms of Riemann surfaces and maps of genus $p + 1$ where $p$ is prime

Milagros Izquierdo, Gareth A. Jones, Sebastián Reyes-Carocca

We classify compact Riemann surfaces of genus $g$ , where $g - 1$ is a prime $p$ , which have a group of automorphisms of order $ρ (g - 1)$ for some integer $ρ \geq 1$ , and determine isogen…

math.AG2011

Arbitrarily large Galois orbits of non-homeomorphic surfaces

Gabino Gonzalez-Diez, Gareth A. Jones, David Torres-Teigell

We construct orbits of the absolute Galois group, of explicit unbounded size, consisting of surfaces with mutually non-isomorphic fundamental groups. These are Beauville surfaces w…

math.AG2011

Beauville surfaces with abelian Beauville group

Gabino González-Diez, Gareth A. Jones, David Torres-Teigell

A Beauville surface is a rigid surface of general type arising as a quotient of a product of curves $C_{1}$ , $C_{2}$ of genera $g_{1}, g_{2} \geq 2$ by the free action of a finite gro…

math.AG2006

Generalised Fermat Hypermaps and Galois Orbits

Antoine D. Coste, Gareth A. Jones, Manfred Streit +1

We consider families of quasiplatonic Riemann surfaces characterised by the fact that -- as in the case of Fermat curves of exponent $n$ -- their underlying regular (Walsh) hyperma…

Hurwitz groups as monodromy groups of dessins: several examples

Groups of automorphisms of Riemann surfaces and maps of genus p+1 where p is prime

Arbitrarily large Galois orbits of non-homeomorphic surfaces

Beauville surfaces with abelian Beauville group

Generalised Fermat Hypermaps and Galois Orbits

Groups of automorphisms of Riemann surfaces and maps of genus $p + 1$ where $p$ is prime