activity
20092019
most citedGeneration of finite simple groups with an application to groups acting on Beauville surfaces

11 citations · 31 across the 15 of their papers we have counts for

collaborators

18 papers

math.GR2019

Purely (Non-)Strongly Real Beauville Groups

Ben Fairbairn

We discuss Beauville groups whose corresponding Beauville surfaces are either always strongly real or never strongly real producing several infinite families of examples.

math.GR2019

Generalised Beauville Groups

Ludo Carta, Ben Fairbairn

A Beauville group acts freely on the product of two compact Riemann surfaces and faithfully on each one of them. In this paper, we consider higher products and present {\it{general…

math.GR2016★ 7 cited

A new infinite family of non-abelian strongly real Beauville -groups for every odd prime

Ben Fairbairn

We prove that there exist infinitely many a non-abelian strongly real Beauville -group for every prime . Previously only finitely many in the case have been constructed…

math.GR2015

Coxeter groups as Beauville groups

Ben Fairbairn

We generalize earlier work of Fuertes and González-Diez as well as earlier work of Bauer, Catanese and Grunewald to Coxeter groups in general by classifying which of these are stro…

math.GR2014★ 1 cited

Recent work on Beauville surfaces, structures and groups

Ben Fairbairn

Beauville surfaces are a class of complex surfaces defined by letting a finite group act on a product of Riemann surfaces. These surfaces possess many attractive geometric prop…

math.GR2014

Strongly Real Beauville Groups

Ben Fairbairn

A strongly real Beauville group is a Beauville group that defines a real Beauville surface. Here we discuss efforts to find examples of these groups, emphasising on the one extreme…