Generation by conjugate elements of finite almost simple groups with a sporadic socle

DOI10.26516/1997-7670.2024.49.135MaRDI QIDQ6643443

D. O. Revin, Andreĭ Vital'evich Zavarnitsine

Publication date: 26 November 2024

Published in: The Bulletin of Irkutsk State University. Series Mathematics (Search for Journal in Brave)

zbMATH Keywords

conjugacygeneratorssporadic groupBaer-Suzuki theoremFischer group

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Simple groups: sporadic groups (20D08)

Cites Work

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• On the sharp Baer-Suzuki theorem for the \(\pi \)-radical: sporadic groups
• A solvable version of the Baer–Suzuki theorem
• Characterizations of the solvable radical
• Presentations of some 3-transposition groups
• Free transposition groups
• On Generators and Representations of the Sporadic Simple Groups
• On the sharp Baer-Suzuki theorem for the $\pi$-radical of a finite group
• Toward a sharp Baer-Suzuki theorem for the \(\pi \)-radical: exceptional groups of small rank
• On generations by conjugate elements in almost simple groups with socle \(^2 F_4(q^2)'\)

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