On the Wielandt length of metabelian \(p\)-groups

DOI10.1007/BF01196849zbMath0702.20012OpenAlexW2053361569MaRDI QIDQ914832

Elizabeth A. Ormerod

Publication date: 1991

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196849

zbMATH Keywords

nilpotent groupsubnormal subgroupsfinite groupnilpotency classcharacteristic subgroupWielandt subgroupascending normal seriesfinite metabelian p-groupsWielandt lengthWielandt series

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14) Subnormal subgroups of abstract finite groups (20D35)

Related Items (7)

Soluble Groups of Small Wielandt Length ⋮ On the Norm and Wielandt Series in Finite Groups ⋮ On the Norm of Finite Groups ⋮ The wielandt series of metabelian groups ⋮ Some p-groups of Weilandt length three ⋮ A note on the wielandt subgroup of a metabelianp-group ⋮ ON THE -LENGTH AND THE WIELANDT LENGTH OF A FINITE -SOLUBLE GROUP

Cites Work

• Über den Normalisator der subnormalen Untergruppen
• On the norm of a group
• The Wielandt length of finite groups
• The Wielandt Subgroup of a Finite Soluble Group
• The Wielandt subgroup of metacyclic p-groups
• Finite Groups with Normal Normalizers

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