FINITE -GROUPS ALL OF WHOSE NONNORMAL SUBGROUPS HAVE BOUNDED NORMAL CORES

DOI10.1017/S0004972719000753zbMath1481.20075OpenAlexW2963566618MaRDI QIDQ5222141

Dongfang Yang, Heng Lv, Lijian An

Publication date: 1 April 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972719000753

zbMATH Keywords

maximal classnormal corenon-Dedekindian group

Mathematics Subject Classification ID

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

Related Items (1)

Finite p -groups in which the intersection of nonnormal subgroup and center has bounded order

Cites Work

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• On finite core-\(p^{2}\) \(p\)-groups
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• Groups with finite classes of conjugate subgroups
• Groups with two extreme character degrees and their normal subgroups
• Finitep-Groups All of Whose Minimal Nonnormal Subgroups Posses Large Normal Closures
• 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
• On core-2 groups

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