Arbitrarily large Galois orbits of non-homeomorphic surfaces
  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 with Beauville group PGL_2(p). 
Gabino Gonzalez-Diez, Gareth A. Jones and David Torres-Teigell
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