On the Norm and Wielandt Series in Finite Groups

DOI10.1142/S1005386712000272zbMath1261.20016OpenAlexW2048983176MaRDI QIDQ2909070

X. Zhang, Xiu Yun Guo

Publication date: 29 August 2012

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386712000272

zbMATH Keywords

normfinite groupsfinite \(p\)-groupsnilpotent groupscapable groupsderived subgroupWielandt seriesintersections of normalisers

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35)

Related Items (1)

Unnamed Item

Cites Work

• Über den Normalisator der subnormalen Untergruppen
• On the Wielandt length of metabelian \(p\)-groups
• On finite \(p\)-groups with cyclic commutator subgroup
• Power automorphisms of a group
• Das ``schiefe Produkt in der Gruppentheorie mit Anwendung auf die endlichen nichtkommutativen Gruppen mit lauter kommutativen echten Untergruppen und die Ordnungszahlen, zu denen nur kommutative Gruppen gehören
• The Wielandt subgroup of metacyclic p-groups
• Finite p-Groups of Class 3 All of Whose Proper Sections Have Class at Most 2
• Groups of Wielandt length two
• Some p-groups of Weilandt length three
• A note on the wielandt subgroup of a metabelianp-group
• On the Norm of Finite Groups
• Endliche Gruppen I
• Groups with Abelian Norm Quotient Group

This page was built for publication: On the Norm and Wielandt Series in Finite Groups