GROUPS IN WHICH EVERY NON-CYCLIC SUBGROUP CONTAINS ITS CENTRALIZER

DOI10.1142/S0219498813501545zbMath1323.20027arXiv1305.4236MaRDI QIDQ5420505

Primož Moravec, Costantino Delizia, Chiara Nicotera, Urban Jezernik

Publication date: 13 June 2014

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

Full work available at URL: https://arxiv.org/abs/1305.4236

zbMATH Keywords

finite \(p\)-groupsfinite simple groupsnilpotent groupsself-centralizing subgroupssupersoluble groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Nilpotent groups (20F18) Finite simple groups and their classification (20D05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (9)

Groups in which every non-abelian subgroup is self-centralizing ⋮ Locally finite groups in which every non-cyclic subgroup is self-centralizing ⋮ Groups with few self-centralizing subgroups which are not self-normalizing ⋮ Algebras in which non-scalar elements have small centralizers ⋮ 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 ⋮ Groups with many self-centralizing or self-normalizing subgroups

Cites Work

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• Finite \(p\)-groups which contain a self-centralizing cyclic normal subgroup.
• Groups of prime power order. Vol. 1.
• A characterization of the subgroups of the additive rationals
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• Corrigendum and Addendum to "Classification of Finite Groups with all Elements of Prime Order"
• Endliche Gruppen I
• The structure of NC-groups

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