Subgroups like Wielandt's in finite soluble groups

DOI10.1017/S0305004100068511zbMath0711.20011MaRDI QIDQ3496395

R. A. Bryce

Publication date: 1990

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

soluble groupsnormalizerssubnormal subgroupsdefectlower central seriesderived lengthWielandt subgroupchain of subgroupsFitting lengthWielandt lengthm-Wielandt length

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) Derived series, central series, and generalizations for groups (20F14) Subnormal subgroups of abstract finite groups (20D35)

Related Items (2)

Unnamed Item ⋮ m-Wielandt series in infinite groups

Cites Work

• Unnamed Item
• Unnamed Item
• Über den Normalisator der subnormalen Untergruppen
• Power automorphisms of a group
• The Wielandt length of finite groups
• A Note on Finite Groups in Which Normality is Transitive
• Endliche Gruppen I

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