Finitep-Groups All of Whose Minimal Nonnormal Subgroups Posses Large Normal Closures

DOI10.1080/00927872.2014.982819zbMath1343.20023OpenAlexW2249314830MaRDI QIDQ2802211

Qinhai Zhang, Junqiang Zhang

Publication date: 25 April 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.982819

zbMATH Keywords

finite \(p\)-groupsnormal closuresnonnormal subgroupsDedekindian \(p\)-groups

Mathematics Subject Classification ID

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

Related Items (3)

Finite p -groups in which the intersection of nonnormal subgroup and center has bounded order ⋮ Unnamed Item ⋮ FINITE -GROUPS ALL OF WHOSE NONNORMAL SUBGROUPS HAVE BOUNDED NORMAL CORES

Cites Work

• Unnamed Item
• Finite 2-groups with index of every cyclic subgroup in its normal closure no greater than 4.
• Some finite \(p\)-groups with bounded index of every cyclic subgroup in its normal closure.
• 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 \(p\). III.
• 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
• Some peculiar minimal situations by finite p-groups
• FINITE p-GROUPS IN WHICH THE NORMAL CLOSURES OF THE NON-NORMAL CYCLIC SUBGROUPS HAVE SMALL INDEX
• Finite Groups with Small Normal Closure of Cyclic Subgroups
• Endliche Gruppen I

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