Minimal generation of finite soluble groups by projectors and normalizers

DOI10.1017/S0017089599000233zbMath0962.20011OpenAlexW1984078476MaRDI QIDQ3835871

Maria Chiara Tamburini, Andrea Lucchini

Publication date: 12 June 2001

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089599000233

zbMATH Keywords

finite soluble groupsnormalizersprojectorssaturated formationscomplemented chief factorsSchunck classesminimal numbers of generatorssoluble \(\pi\)-groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Generators, relations, and presentations of groups (20F05)

Related Items (1)

The largest size of a minimal generating set of a finite group.

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