Wielandt series and defects of subnormal subgroups in finite soluble groups

zbMath0794.20027MaRDI QIDQ1199655

Carlo Casolo

Publication date: 16 January 1993

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1992__87__93_0

zbMATH Keywords

soluble groupderived lengthFitting lengthbound on Wielandt lengthsubnormal defects

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) Series and lattices of subgroups (20D30) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14) Subnormal subgroups of abstract finite groups (20D35)

Related Items (2)

Soluble \((HN)_ 2\)-groups ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Über den Normalisator der subnormalen Untergruppen
• Some sufficient conditions for a group to be nilpotent
• Groups whose subnormal subgroups have bounded defect
• Finite soluble groups in which all subnormal subgroups have defect at most 2
• On groups in which every subgroup is subnormal
• The \(\mathfrak F\)-normalizers of a finite soluble group
• Gruppen, in denen das Normalteilersein transitiv ist.
• The Wielandt Subgroup of a Finite Soluble Group
• A note on subnormal defect in finite soluble groups
• Soluble Groups with Finite Wielandt length
• A Note on Splitting in Solvable Groups

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