Baer--Suzuki theorem for the π-radical

2019/11/27 by Nanying Yang, Danila O. Revin, Д. О. Ревин +2 · 1 citation
Mathematics · Computer Science · Engineering · #Finite Group Theory Research #Coding theory and cryptography #graph theory and CDMA systems

paper · pdf · doi:10.1007/s11856-021-2209-y

Abstract

In the paper we prove (modulo the classification of finite simple groups) an analogue of the famous Baer-Suzuki theorem for the π-radical of a finite group, where π is a set of primes

Citations

• Characterizations of the solvable radical
• Finite Groups in Which the Centralizer of Any Element of Order 2 is 2-Closed

Cited by

• On generation by triality automorphisms

Related

• A solvable version of the Baer--Suzuki Theorem
• From Thompson to Baer-Suzuki: a sharp characterization of the solvable radical
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• Squares of conjugacy classes and a variant on the Baer-Suzuki Theorem
• Criteria for solvable radical membership via p-elements