Finite \(p\)-groups whose non-normal subgroups have few orders

DOI10.1007/s11464-018-0693-0zbMath1499.20044OpenAlexW2794687525WikidataQ130062624 ScholiaQ130062624MaRDI QIDQ1787140

Lijian An

Publication date: 4 October 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-018-0693-0

zbMATH Keywords

finite \(p\)-groupsnon-normal subgroupsmeta-Hamiltonian \(p\)-groups

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15)

Related Items (4)

Finite 2-groups whose length of chain of nonnormal subgroups is at most 2 ⋮ Unnamed Item ⋮ A classification of finite metahamiltonian \(p\)-groups ⋮ Finite \(p\)-groups whose length of chain of nonnormal subgroups is at most 2

Cites Work

• Finite metahamiltonian \(p\)-groups.
• Finite 2-groups whose nonnormal subgroups have orders at most \(2^3\).
• 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 \(p\). II.
• Finite \(p\)-groups whose nonnormal subgroups have orders at most \(p^3\).
• Finite \(p\)-groups all of whose subgroups of index \(p^3\) are Abelian.
• 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
• FINITE GROUPS WHICH HAVE MANY NORMAL SUBGROUPS

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