Baer–Suzuki theorem

In mathematical finite group theory, the Baer–Suzuki theorem, proved by Baer (1957) and Suzuki (1965), states that if any two elements of a conjugacy class C of a finite group generate a nilpotent subgroup, then all elements of the conjugacy class C are contained in a nilpotent subgroup. Alperin & Lyons (1971) gave a short elementary proof.

References

This article is issued from Wikipedia - version of the 5/15/2014. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.