Some restrictions on normalizers or centralizers in finite \(p\)-groups.

DOI10.1007/s11856-015-1197-1zbMath1334.20016arXiv1311.2608OpenAlexW2963960291MaRDI QIDQ891078

Antonio Tortora, Maria Tota, Gustavo A. Fernández-Alcober, Leire Legarreta

Publication date: 16 November 2015

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.2608

zbMATH Keywords

finite \(p\)-groupsnormalizerssubgroupscentralizersorder boundsnon-Dedekind groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

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A finiteness condition on centralizers in locally finite groups ⋮ Some finiteness conditions on normalizers or centralizers in groups ⋮ Groups in which every non-abelian subgroup is self-normalizing ⋮ A finiteness condition on centralizers in locally nilpotent groups ⋮ A survey on groups with some restrictions on normalizers or centralizers

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