On some sets of generators of finite groups.

DOI10.1016/j.jalgebra.2014.02.002zbMath1319.20029OpenAlexW2021022797MaRDI QIDQ401936

Jan Krempa, Agnieszka Stocka

Publication date: 27 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.02.002

zbMATH Keywords

soluble groupsfinite groupsindependent setsminimal generating setsminimal simple groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (6)

Independent sets of generators of prime power order ⋮ Corrigendum to ``On some sets of generators of finite groups. ⋮ On generating sets of finite algebras ⋮ Unnamed Item ⋮ Finite groups with the pp-embedding property ⋮ ON SETS OF PP-GENERATORS OF FINITE GROUPS

Cites Work

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• The largest size of a minimal generating set of a finite group.
• A generalization of the Burnside basis theorem.
• Basis properties for inverse semigroups
• Generation of classical groups
• Maximal independent generating sets of the symmetric group
• On locally finite groups in which every element has prime power order
• Bases of certain finite groups
• Groups with the basis property.
• Unsolved Problems in Group Theory. The Kourovka Notebook
• On a class of doubly transitive groups

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