On a generalization of the Baer-Suzuki theorem

DOI10.1007/BF02674111zbMath0960.20016MaRDI QIDQ1595495

R. Smith

Publication date: 12 February 2001

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/120926

zbMATH Keywords

normal \(p\)-subgroupsbinary finite groupslocally nilpotent radicals

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Local properties of groups (20E25)

Related Items (7)

On the sharp Baer-Suzuki theorem for the \(\pi \)-radical: sporadic groups ⋮ Involutions in groups of exponent 12. ⋮ A description of Baer-Suzuki type of the solvable radical of a finite group. ⋮ On Baer-Suzuki \(\pi\)-theorems. ⋮ Groups with finite Engel element ⋮ Baer-Suzuki theorem for the \(\pi \)-radical ⋮ The Baer-Suzuki theorem for groups of 2-exponent 4.

Cites Work

• Groups with finitely imbedded involution
• On examples of associative nil algebras
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