In mathematics, the B-theorem is a result in finite group theory formerly known as the B-conjecture.
The theorem states that if C {\displaystyle C} is the centralizer of an involution of a finite group, then every component of C / O ( C ) {\displaystyle C/O(C)} is the image of a component of C {\displaystyle C} .
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References
Gorenstein, Daniel (1983). The Classification of finite simple groups. New York: Plenum Press. p. 7. ISBN 978-0-306-41305-6. 978-0-306-41305-6 ↩