Thin group (finite group theory)
id:
thin-group-finite-group-theory-313-9624630
title:
Thin group (finite group theory)
text:
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. Janko (1972) 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 Aschbacher (1976, 1978). The l
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https://en.wikipedia.org/wiki/Thin_group_(finite_group_theory)
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2023-08-18T21:40:12Z
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