FINITE GROUPS ALL OF WHOSE NON-NORMAL SUBGROUPS POSSESS THE SAME ORDER

DOI10.1142/S0219498811005816zbMath1252.20016MaRDI QIDQ2892994

Junqiang Zhang

Publication date: 25 June 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

finite \(p\)-groupsnon-normal subgroupsequal order subgroupsDedekind groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Finite 2-groups whose length of chain of nonnormal subgroups is at most 2 ⋮ Finite \(p\)-groups whose length of chain of nonnormal subgroups is at most 2

Cites Work

• Groups of prime power order. Vol. 1.
• Groups of prime power order. Vol. 3.
• Nonnormal subgroups of \(p\)-groups.
• 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
• Short proofs of some basic characterization theorems of finite p-group theory
• Endliche Gruppen I

This page was built for publication: FINITE GROUPS ALL OF WHOSE NON-NORMAL SUBGROUPS POSSESS THE SAME ORDER