Uniqueness case
In mathematical finite group theory, the uniqueness case is one of the three possibilities for groups of characteristic 2 type given by the trichotomy theorem.
The uniqueness case covers groups G of characteristic 2 type with e ≥ 3 that have an almost strongly p-embedded maximal 2-local subgroup for all primes p whose 2-local p-rank is sufficiently large.
proved that there are no finite simple groups in the uniqueness case.
