Intersection of maximal subgroups which are not minimal nonabelian of finite p-groups

DOI10.1080/00927872.2016.1236120zbMath1376.20020OpenAlexW2538663424MaRDI QIDQ4978383

Li-Hua Zhang

Publication date: 10 August 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1236120

zbMATH Keywords

maximal subgroupsfinite \(p\)-groupsminimal nonabelian subgroups

Mathematics Subject Classification ID

Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

Finite \(p\)-groups all of whose minimal nonabelian subgroups are nonmetacyclic of order \(p^3\)

Cites Work

• Unnamed Item
• Unnamed Item
• Finite \(p\)-groups all of whose non-Abelian proper subgroups are generated by two elements.
• Groups of prime power order. Vol. 1.
• Finite \(p\)-groups with a minimal non-Abelian subgroup of index \(p\). I.
• Finite \(p\)-groups with a minimal non-abelian subgroup of index \(p\). II.
• Finite \(p\)-groups all of whose subgroups of index \(p^3\) are Abelian.
• Groups of prime power order. Vol. 3.
• Finite \(p\)-groups with a minimal non-abelian subgroup of index \(p\). III.
• 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 intersection of nonabelian subgroups of finite p-groups
• Finite p-groups G with p > 2 and d(G) = 2 having exactly one maximal subgroup which is neither abelian nor minimal nonabelian
• Finite p-Groups All of Whose Subgroups of Index p² Are Abelian
• Finite 2-groups with exactly one maximal subgroup which is neither abelian nor minimal nonabelian
• Finite p-groups with a minimal non-abelian subgroup of index p (IV)

This page was built for publication: Intersection of maximal subgroups which are not minimal nonabelian of finite p-groups