Bases of certain finite groups

DOI10.5802/AMBP.14zbMath0831.20039OpenAlexW2325500646MaRDI QIDQ1895933

Libero Verardi, Raffaele Scapellato

Publication date: 6 February 1996

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_1994__1_2_85_0

zbMATH Keywords

finite groupsfinite \(p\)-groupssolvable groupsFrattini subgroupminimal generating setsFitting subgroupindependent subsetshierarchical generating setsmatroid 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) Series and lattices of subgroups (20D30) Generators, relations, and presentations of groups (20F05) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (6)

On some sets of generators of finite groups. ⋮ A generalization of the Burnside basis theorem. ⋮ On generating sets of finite algebras ⋮ Groups with the basis property. ⋮ Unnamed Item ⋮ Finite groups with the pp-embedding property

Cites Work

• The connectivity of hierarchical Cayley digraphs
• Basis properties for inverse semigroups
• Une Classe Particuliere De Matroides Parfaits
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