Alperin-Brauer-Gorenstein theorem

Alperin-Brauer-Gorenstein theorem

In mathematics, the Alperin--Brauer--Gorenstein theorem characterizes the finite simple groups with quasidihedral or wreathed Sylow 2-subgroups. These are isomorphic either to three-dimensional projective special linear or projective special unitary groups over a finite fields of odd order, depending on a certain congruence, or to the Mathieu group M_{11}.

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