Groups with many self-centralizing or self-normalizing subgroups

DOI10.22108/IJGT.2019.114315.1518zbMath1443.20059OpenAlexW2924602140MaRDI QIDQ5124343

Chiara Nicotera, Costantino Delizia

Publication date: 18 September 2020

Full work available at URL: https://doaj.org/article/6beaf9ff2975472aa58ad946352f68ce

zbMATH Keywords

self-centralizing subgroupself-normalizing subgroup

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) Simple groups (20E32) General structure theorems for groups (20E34)

Cites Work

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• Locally finite groups in which every non-cyclic subgroup is self-centralizing
• Groups whose all subgroups are ascendant or self-normalizing.
• Groups with finite conjugacy classes of subnormal subgroups
• Groups of prime power order. Vol. 1.
• Groups in which every non-abelian subgroup is self-normalizing
• Groups with all subgroups either subnormal or self-normalizing.
• Subgroup lattices of groups
• Groups with few self-centralizing subgroups which are not self-normalizing
• Groups in which every non-abelian subgroup is self-centralizing
• Groups in which every non-nilpotent subgroup is self-normalizing
• GROUPS IN WHICH EVERY NON-CYCLIC SUBGROUP CONTAINS ITS CENTRALIZER

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