Groups of Wielandt length two

DOI10.1017/S0305004100070304zbMath0741.20012OpenAlexW2104109477MaRDI QIDQ3982352

Elizabeth A. Ormerod

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1017/s0305004100070304

zbMATH Keywords

subnormal subgroupskernel\(p\)-groupsWielandt subgroupWielandt lengthcommutator calculations\(p\)-groups of Wielandt length 2

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 (8)

Soluble Groups of Small Wielandt Length ⋮ On the Norm and Wielandt Series in Finite Groups ⋮ On the \(\pi\mathfrak F\)-norm and the \(\mathfrak H\)-\(\mathfrak F\)-norm of a finite group. ⋮ On supersoluble groups of Wielandt length two ⋮ The wielandt series of metabelian groups ⋮ Finite \(p\)-groups ⋮ A note on groups with Hamiltonian quotients ⋮ Some p-groups of Weilandt length three

Cites Work

• Unnamed Item
• Über den Normalisator der subnormalen Untergruppen
• A classification of 2-generator \(p\)-groups \(p\geq 3\) with many subgroups 2-subnormal
• Power automorphisms of finite p-groups
• Power automorphisms of a group
• A classification of 2-generator 2-groups with manv subgrouds 2-subnormal
• Finite Groups with Normal Normalizers
• On the H p -Problem for Finite p-Groups

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