BURNSIDE-TYPE PROBLEMS RELATED TO SOLVABILITY

DOI10.1142/S0218196707003962zbMath1179.20014OpenAlexW2037206165MaRDI QIDQ5386953

Aner Shalev, Eugene Plotkin, Robert M. Guralnick

Publication date: 14 May 2008

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

Full work available at URL: https://doi.org/10.1142/s0218196707003962

zbMATH Keywords

finite soluble groupsnilpotencynilpotent radicalBurnside-type problemsThompson theoremRestricted Burnside Problem\(2\)-generator wordsEngel-like wordssolubility of \(2\)-generator subgroups

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) Engel conditions (20F45)

Related Items

Iterated identities and iterational depth of groups, Characterizations of the solvable radical, A description of Baer-Suzuki type of the solvable radical of a finite group., From Thompson to Baer-Suzuki: a sharp characterization of the solvable radical., A solvable version of the Baer–Suzuki theorem, No iterated identities satisfied by all finite groups, CHARACTERIZATION OF SOLVABLE GROUPS AND SOLVABLE RADICAL

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