CHARACTERIZATION OF SOLVABLE GROUPS AND SOLVABLE RADICAL

DOI10.1142/S0218196713300016zbMath1284.20014OpenAlexW2114564147MaRDI QIDQ2852572

Boris Kunyavskiĭ, Eugene Plotkin, Fritz J. Grunewald

Publication date: 9 October 2013

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196713300016

zbMATH Keywords

finite solvable groupsfinite fieldsfinite simple groupsalgebraic varietiessolvable radical

Mathematics Subject Classification ID

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 ground fields in algebraic geometry (14G15) Finite simple groups and their classification (20D05) Finite nilpotent groups, (p)-groups (20D15) Solvable, nilpotent (super)algebras (17B30) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (5)

Thompson-like characterization of solubility for products of finite groups ⋮ On generations by conjugate elements in almost simple groups with socle \(^2 F_4(q^2)'\) ⋮ Intersection growth in groups ⋮ Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics. ⋮ No iterated identities satisfied by all finite groups

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