The Baer-Suzuki theorem for groups of \(3\)-exponent \(1\)

DOI10.1007/s10469-024-09744-3zbMATH Open1540.20067MaRDI QIDQ6539752

Nanying Yang, Andrey Mamontov, Juping Tang

Publication date: 15 May 2024

Published in: Algebra and Logic (Search for Journal in Brave)

zbMATH Keywords

periodic groupBaer-Suzuki theorem\(p\)-radicalgroup of exponent 12

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Local properties of groups (20E25)

Cites Work

• Groups of exponent 12 without elements of order 12.
• On Baer-Suzuki \(\pi\)-theorems.
• Engelsche Elemente Noetherscher Gruppen
• Infinite groups of finite period.
• From Thompson to Baer-Suzuki: a sharp characterization of the solvable radical.
• Über eine besondere Klasse von Gruppen
• On an unsettled question in the theory of discontinuous groups.
• On a generalization of the Baer-Suzuki theorem
• Finite groups in which conjugate operations are commutative.
• Baer-Suzuki theorem for the \(\pi \)-radical
• Criteria for subnormality in finite groups.
• The Baer-Suzuki theorem for groups of 2-exponent 4.
• Finite groups in which the centralizer of any element of order 2 is 2- closed
• Solution of Burnside's problem for exponent 4.
• Groups whose elements have bounded orders.
• Characterizations of the solvable radical
• On conjugacy classes of p-elements
• On the sharp Baer-Suzuki theorem for the $\pi$-radical of a finite group

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