Thompson uniqueness theorem
Encyclopedia
In mathematical finite group theory, Thompson's original uniqueness theorem states that in a simple finite group
Group (mathematics)
In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines any two of its elements to form a third element. To qualify as a group, the set and the operation must satisfy a few conditions called group axioms, namely closure, associativity, identity...

of odd order there is a unique maximal subgroup containing a given elementary abelian subgroup of rank 3.
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