B-theorem

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The B-theorem is a mathematical finite group theory result formerly known as the B-conjecture. The theorem states that if [math]\displaystyle{ C }[/math] is the centralizer of an involution of a finite group, then every component of [math]\displaystyle{ C/O(C) }[/math] is the image of a component of [math]\displaystyle{ C }[/math]. [1]

References

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