Extreme elements of finite \(p\)-groups
type: Item
instance of: scholarly article
title: Extreme elements of finite \(p\)-groups
zbMATH Open document ID: 0693.20018
author: Avinoam Mann
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1990-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108182
review text: An element of a \(p\)-group is called extreme, if this element and the non-central commutators involving it have the same centralizer. Using this concept, we generalize to arbitrary \(p\)-groups some results that were proved for groups in which all conjugacy classes have the same size, and investigate some extreme situations.
Mathematics Subject Classification ID: 20D15
Mathematics Subject Classification ID: 20D60
Mathematics Subject Classification ID: 20E45
zbMATH DE Number: 4134302
zbMATH Keywords: non-central commutators
zbMATH Keywords: centralizer
zbMATH Keywords: \(p\)-groups
zbMATH Keywords: conjugacy classes
MaRDI profile type: Publication
cites work: Partitionen endlicher Gruppen
cites work: Q4163382
cites work: Endliche Gruppen I
cites work: On Finite Groups with Given Conjugate Types I
cites work: Conjugacy classes in finite groups
cites work: Groups with small Abelian subgroups
cites work: Some finite groups with large conjugacy classes
cites work: p -Groups with Abelian Centralizers
cites work: Q3810830
description: scientific article; zbMATH DE number 4134302