Groups in which every non-abelian subgroup is self-centralizing

DOI10.1016/j.jalgebra.2016.04.035zbMath1353.20017arXiv1510.06545OpenAlexW2136314187MaRDI QIDQ2629883

Chiara Nicotera, Heiko Dietrich, Costantino Delizia, Primož Moravec

Publication date: 8 July 2016

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

Full work available at URL: https://arxiv.org/abs/1510.06545

zbMATH Keywords

centralizerself-centralizing subgroupnon-abelian subgroup

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Nilpotent groups (20F18) Finite nilpotent groups, (p)-groups (20D15)

Related Items (9)

\(n\)-torsion groups ⋮ Groups with few self-centralizing subgroups which are not self-normalizing ⋮ On conjugacy classes in groups ⋮ Groups in which every non-nilpotent subgroup is self-normalizing ⋮ On groups whose self-centralizing subgroups are normal ⋮ Groups in which every non-abelian subgroup is self-normalizing ⋮ Finite unitary rings in which every subring is commutative, are commutative ⋮ Groups with many self-centralizing or self-normalizing subgroups ⋮ Finite 2-groups all of whose non-abelian subgroups are self-centralizing

Cites Work

• On a special class of \(p\)-groups
• Some remarks on Cernikov \(p\)-groups
• Finite \(p\)-groups all of whose non-Abelian proper subgroups are generated by two elements.
• Groups of prime power order. Vol. 1.
• Groups in which commutativity is a transitive relation
• Centralizer of Engel Elements in a Group
• GROUPS IN WHICH EVERY NON-CYCLIC SUBGROUP CONTAINS ITS CENTRALIZER
• Some remarks on aperiodic elements in locally nilpotent groups
• Endliche Gruppen I
• Presentations of metacyclic groups
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