Groups with few self-centralizing subgroups which are not self-normalizing

DOI10.4171/RSMUP/30zbMath1468.20043OpenAlexW2951757622WikidataQ127711518 ScholiaQ127711518MaRDI QIDQ2177977

Mahmoud Hassanzadeh, Zohreh Mostaghim

Publication date: 7 May 2020

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rsmup/30

zbMATH Keywords

self-centralizing subgroupminimal simple groupself-normalizing subgroupA-group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Subgroup theorems; subgroup growth (20E07) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

Groups with many self-centralizing or self-normalizing subgroups

Cites Work

• Locally finite groups in which every non-cyclic subgroup is self-centralizing
• Groups of prime power order. Vol. 1.
• Groups in which every non-abelian subgroup is self-normalizing
• Groups in which every non-abelian subgroup is self-centralizing
• Groups as Unions of Proper Subgroups
• Groups in which every non-nilpotent subgroup is self-normalizing
• On groups whose self-centralizing subgroups are normal
• GROUPS IN WHICH EVERY NON-CYCLIC SUBGROUP CONTAINS ITS CENTRALIZER

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