11 citations · 18 across the 4 of their papers we have counts for
4 papers
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…
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…
Some Exceptional Beauville Structures
Ben Fairbairn
We first show that every quasisimple sporadic group possesses an unmixed strongly real Beauville structure aside from the Mathieu groups M11 and M23 (and possibly 2B and M). We go…
Recent Progress in the Symmetric Generation of Groups
Ben Fairbairn
Many groups possess highly symmetric generating sets that are naturally endowed with an underlying combinatorial structure. Such generating sets can prove to be extremely useful bo…