A description of Baer-Suzuki type of the solvable radical of a finite group.

DOI10.1016/j.jpaa.2008.06.006zbMath1163.20010OpenAlexW2124909641MaRDI QIDQ958125

B. E. Eshmatov

Publication date: 2 December 2008

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2008.06.006

zbMATH Keywords

conjugacy classesfinite groupsfinite simple groupssolvable subgroupssolvable radicalsoluble radical

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40) Simple groups: sporadic groups (20D08) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Generators, relations, and presentations of groups (20F05) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items

On the sharp Baer-Suzuki theorem for the \(\pi \)-radical: sporadic groups ⋮ 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 \(^2 F_4(q^2)'\) ⋮ Characterizations of the solvable radical ⋮ Multilinear commutators in residually finite groups. ⋮ On Baer-Suzuki \(\pi\)-theorems. ⋮ From Thompson to Baer-Suzuki: a sharp characterization of the solvable radical. ⋮ A solvable version of the Baer–Suzuki theorem ⋮ Baer-Suzuki theorem for the solvable radical of a finite group. ⋮ Baer-Suzuki theorem for the \(\pi \)-radical ⋮ On the Fitting height of a finite group ⋮ CHARACTERIZATION OF SOLVABLE GROUPS AND SOLVABLE RADICAL ⋮ On the Baer-Suzuki width of some radical classes

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