B-theorem

{{Short description|Theorem in group theory}}

{{one source |date=May 2024}}

In mathematics, the B-theorem is a result in finite group theory formerly known as the B-conjecture.

The theorem states that if $C$ is the centralizer of an involution of a finite group, then every component of $C/O(C)$ is the image of a component of $C$.{{cite book|last1=Gorenstein|first1=Daniel|title=The Classification of finite simple groups|date=1983|publisher=Plenum Press|location=New York|isbn=978-0-306-41305-6|page=7}}