Baer-Suzuki theorem for the solvable radical of a finite group.

DOI10.1016/j.crma.2009.01.004zbMath1167.20012OpenAlexW2152546755MaRDI QIDQ1009517

J. Martínez

Publication date: 2 April 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.01.004

zbMATH Keywords

conjugacy classesfinite groupssolvable groupssolvable radicalBaer-Suzuki theorem

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite simple groups and their classification (20D05)

Related Items (11)

On the sharp Baer-Suzuki theorem for the \(\pi \)-radical: sporadic groups ⋮ Thompson-like characterization of solubility for products of finite groups ⋮ Characterization of the solvable radical by Sylow multiplicities ⋮ On generations by conjugate elements in almost simple groups with socle \(^2 F_4(q^2)'\) ⋮ A Remark on Two Solvability Criteria of Thompson ⋮ On Baer-Suzuki \(\pi\)-theorems. ⋮ From Thompson to Baer-Suzuki: a sharp characterization of the solvable radical. ⋮ SOLVABILITY OF FINITE GROUPS VIA CONDITIONS ON PRODUCTS OF 2-ELEMENTS AND ODD p-ELEMENTS ⋮ Baer-Suzuki theorem for the \(\pi \)-radical ⋮ CHARACTERIZATION OF SOLVABLE GROUPS AND SOLVABLE RADICAL ⋮ On the Baer-Suzuki width of some radical classes

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