Characterization of finite soluble groups by laws in a small number of variables

DOI10.1016/0021-8693(88)90221-9zbMath0651.20039OpenAlexW2083493393MaRDI QIDQ1106334

John S. Wilson, Rolf Brandl

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90221-9

zbMATH Keywords

finite groupssolvabilitylaws\(n\)-generator subgroupsconjugated commutatorsequences of words

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Generators, relations, and presentations of groups (20F05) Quasivarieties and varieties of groups (20E10) Commutator calculus (20F12)

Related Items (12)

Sequences of words characterizing finite solvable groups. ⋮ Unnamed Item ⋮ A note on Engel words of finite groups ⋮ Characterization of the soluble radical by a sequence of words. ⋮ Iterated identities and iterational depth of groups ⋮ Two-variable identities for finite solvable groups. ⋮ Some finite varieties of Lie algebras ⋮ On mep-relations in the wreath product of groups. ⋮ From Thompson to Baer-Suzuki: a sharp characterization of the solvable radical. ⋮ Engel-like characterization of radicals in finite dimensional Lie algebras and finite groups ⋮ No iterated identities satisfied by all finite groups ⋮ CHARACTERIZATION OF SOLVABLE GROUPS AND SOLVABLE RADICAL

Cites Work

• Unnamed Item
• Zur Theorie der untergruppenabgeschlossenen Formationen: Endliche Varietäten
• Die Suzukigruppen und ihre Geometrien. Vorlesung Sommersemester 1965 in Mainz
• Nonsolvable finite groups all of whose local subgroups are solvable
• Some problems of Burnside type
• Endliche Gruppen I
• On a class of doubly transitive groups

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