On groups whose self-centralizing subgroups are normal

DOI10.1142/S0219498819501068zbMath1481.20122OpenAlexW2820839575MaRDI QIDQ5383886

Mahmoud Hassanzadeh, Zohreh Mostaghim

Publication date: 20 June 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498819501068

zbMATH Keywords

nilpotent groupHamiltonian groupself-centralizing subgroupnormal subgrouppolycyclic

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Nilpotent groups (20F18)

Related Items (2)

Groups with few self-centralizing subgroups which are not self-normalizing ⋮ Finite groups whose non-abelian self-centralizing subgroups are TI-subgroups or subnormal subgroups

Cites Work

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• Locally finite groups in which every non-cyclic subgroup is self-centralizing
• Groups of prime power order. Vol. 1.
• A course on finite groups.
• On the nilpotent length of polycyclic groups
• On groups in which every subgroup is subnormal
• Groups in which every non-abelian subgroup is self-centralizing
• GROUPS IN WHICH EVERY NON-CYCLIC SUBGROUP CONTAINS ITS CENTRALIZER

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