Centralizers of subgroups in simple locally finite groups

Kıvanc̣ Ersoy; Mahmut Kuzucuoğlu

doi:10.1515/jgt.2010.087

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Centralizers of subgroups in simple locally finite groups

Kıvanc̣ Ersoy Mahmut Kuzucuoğlu

Year: 2012 Journal: Journal of Group Theory Vol: 15 (1) Publisher: De Gruyter

DOI: 10.1515/jgt.2010.087

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Abstract

Abstract Hartley asked the following question: Is the centralizer of every finite subgroup in a simple non-linear locally finite group infinite? We answer a stronger version of this question for finite 𝒦-semisimple subgroups. Namely let Moreover we prove that if

Keywords:

Mathematics Centralizer and normalizer Simple (philosophy) Simple group Locally finite group Classification of finite simple groups CA-group Group of Lie type Pure mathematics Group theory

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Finite Group Theory Research

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Centralizers of subgroups in simple locally finite groups

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