11 citations · 12 across the 3 of their papers we have counts for
3 papers
math.GR2011
Symmetric Presentations of Coxeter Groups
Ben Fairbairn
We apply the techniques of symmetric generation to establish the standard presentations of the finite simply laced irreducible finite Coxeter groups, that is the Coxeter groups of…
math.GR2010★ 11 cited
Generation of finite simple groups with an application to groups acting on Beauville surfaces
Ben Fairbairn, Kay Magaard, Christopher Parker
We develop theorems which produce a multitude of hyperbolic triples for the finite classical groups. We apply these theorems to prove that every quasisimple group except Alt(5) and…
math.GR2009★ 1 cited
Symmetric generation of Coxeter groups
Ben Fairbairn, Jürgen Müller
We provide involutory symmetric generating sets of finitely generated Coxeter groups, fulfilling a suitable finiteness condition, which in particular is fulfilled in the finite, af…