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

11 citations · 18 across the 4 of their papers we have counts for

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math.GR2010★ 4 cited

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…

math.GR2010★ 3 cited

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…