Centralizers of involutions in locally finite-simple groups.
type: Item
instance of: scholarly article
title: Centralizers of involutions in locally finite-simple groups.
zbMATH Open document ID: 1166.20028
author: E. Özyurt
author: Ayşe Berkman
author: Mahmut Kuzucuoğlu
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 2008-12-01T00:00:00Z
full work available at URL: https://eudml.org/doc/108721
review text: Summary: We consider infinite locally finite-simple groups (that is, infinite groups in which every finite subset lies in a finite simple subgroup). We first prove that in such groups, centralizers of involutions either are soluble or involve an infinite simple group, and we conclude that in either case centralizers of involutions are not inert subgroups. We also show that in such groups, the centralizer of an involution is linear if and only if the ambient group is linear.
Mathematics Subject Classification ID: 20F50
Mathematics Subject Classification ID: 20E32
Mathematics Subject Classification ID: 20E25
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 5376052
zbMATH Keywords: infinite locally finite-simple groups
zbMATH Keywords: finite simple subgroups
zbMATH Keywords: centralizers of involutions
zbMATH Keywords: infinite simple groups
zbMATH Keywords: inert subgroups
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5376052