The soluble radical and orbits of certain maps on finite groups

DOI10.1016/j.jalgebra.2021.03.020OpenAlexW3150350269MaRDI QIDQ2153329

John S. Wilson, David Popović

Publication date: 4 July 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.03944

zbMATH Keywords

finite groupword mapssoluble radical

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Finite simple groups and their classification (20D05) Engel conditions (20F45)

Uses Software

• GAP

Cites Work

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• A CHARACTERIZATION OF FINITE SOLUBLE GROUPS BY LAWS IN TWO VARIABLES
• Maximal subgroups of sporadic groups
• Nonsolvable finite groups all of whose local subgroups are solvable
• On the automorphisms of the classical groups. With a supplement by Loo-Keng Hua

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