Baer–Suzuki theorem

id: baer-suzuki-theorem-305-15098026
title: Baer–Suzuki theorem
text: 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.
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original url: https://en.wikipedia.org/wiki/Baer%E2%80%93Suzuki_theorem
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date modified: 2021-12-01T08:38:49Z
main entity: {"identifier":"Q4841299","url":"https://www.wikidata.org/entity/Q4841299"}
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