First-order characterization of the radical of a finite group

DOI10.2178/jsl/1254748698zbMath1184.03030OpenAlexW2063283369MaRDI QIDQ3655263

John S. Wilson

Publication date: 7 January 2010

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2178/jsl/1254748698

zbMATH Keywords

finite groupssolvable radical

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (8)

A note on Engel words of finite groups ⋮ Profinite groups with NIP theory andp-adic analytic groups ⋮ COMPONENTS AND MINIMAL NORMAL SUBGROUPS OF FINITE AND PSEUDOFINITE GROUPS ⋮ FIRST-ORDER RECOGNIZABILITY IN FINITE AND PSEUDOFINITE GROUPS ⋮ Model theory of finite and pseudofinite groups ⋮ Finite rank and pseudofinite groups ⋮ A note on pseudofinite groups of finite centraliser dimension ⋮ CHARACTERIZATION OF SOLVABLE GROUPS AND SOLVABLE RADICAL

Cites Work

• Unnamed Item
• On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
• Ultraproducts and Chevalley groups
• Thompson-like characterizations of the solvable radical.
• FINITE AXIOMATIZATION OF FINITE SOLUBLE GROUPS
• Involutions in Chevalley groups over fields of even order

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