Ranks of the Sylow 2-Subgroups of the Classical Simple Groups


0. Introduction A 2-group is called realisable if it is isomorphic to a Sylow 2-subgroup of a finite simple group. It is well known that very few 2-groups are realisable (see [HL], [M]). In order to understand such realisable 2-groups, one would like to find a set of invariance of 2-groups which enables us to differentiate Ω1 (the set of realisable 2-groups… (More)