
Thin group (finite group theory)

In the mathematical classification of finite simple groups, a thin group is a finite group such that for every odd prime number "p", the Sylow "p"-subgroups of the 2-local subgroups are cyclic. Informally, these are the groups that resemble rank 1 groups of Lie type over a finite field of characteristic 2.
 defined thin groups and classified those of characteristic 2 type in which all 2-local subgroups are solvable.
The thin simple groups were classified by . The list of finite simple thin groups consists of: