Fitting classes of certain metanilpotent groups

DOI10.1017/S001708950003072XzbMath0817.20018MaRDI QIDQ4306215

Hermann Heineken

Publication date: 31 July 1995

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

zbMATH Keywords

nilpotent groupsFitting classesFitting subgroupnilpotent residualminimal normal subgroupSylow \(q\)-subgroupmetabelian subgroups\(qp\)-groupscentral product of extraspecial \(p\)-groupsFitting class generated by a single groupmonogenic Fitting classes

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) Finite nilpotent groups, (p)-groups (20D15) Formations of groups, Fitting classes (20F17)

Related Items (1)

More metanilpotent Fitting classes with bounded chief factor ranks

Cites Work

• Examples of minimal Fitting classes of finite groups
• On metanilpotent Fitting classes
• Relevant groups for Fitting classes
• Finite soluble groups
• The Sylow 2-subgroups of the finite classical groups
• Ein Verfahren, jeder endlichen \(p\)-Gruppe einen Lie-Ring mit der Charakteristik \(p\) zuzuordnen
• Sylow p-Subgroups of the Classical Groups Over Finite Fields with Characteristic Prime to p

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