Finite simple groups of low 2-rank and the families $G_2 \left( q \right),\,D_4^2 \left( q \right),\,q$ odd
Finite simple groups of low 2-rank and the families $G_2 \left( q \right),\,D_4^2 \left( q \right),\,q$ odd
In §1, we describe the presently known finite simple groups of 2-ranks 3 and 4 and discuss in outline the existing methods of characterizing such groups by means of their Sylow 2-subgroups.In the balance of the paper, we illustrate these techniques concretely by classifying all simple groups whose Sylow 2-subgroups …