2010/07/28 by Ben Fairbairn, Fairbairn, Ben · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #math.DG #math.GR
paper · pdf · doi:10.48550/arxiv.1007.5050
v4 - case Co2 ammended
arxiv created 2011/02/16 · arxiv updated 2011/02/17
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 on to show that no almost simple sporadic group possesses a mixed Beauville structure. We then go on to use the exceptional nature of the alternating group A6 to give a strongly real Beauville structure for this group explicitly correcting an earlier error of Fuertes and Gonzalez-Diez. In doing so we complete the classification of alternating groups that possess strongly real Beauville structures. We conclude by discussing mixed Beauville structures of the groups A6:2 and A6:22.