B-theorem

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

The theorem states that if ${\displaystyle C}$ is the centralizer of an involution of a finite group, then every component of ${\displaystyle C/O(C)}$ is the image of a component of ${\displaystyle C}$ .^[1]

References

1. Gorenstein, Daniel (1983). The Classification of finite simple groups. New York: Plenum Press. p. 7. ISBN 978-0-306-41305-6.