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On Centralizers of Locally Finite Simple Groups

  • Mattia Brescia
  • Alessio RussoEmail author
Article
  • 8 Downloads

Abstract

The aim of this article is to prove the following theorem. Let G be any infinite simple locally finite group. Then, either G is isomorphic to \(\mathrm{{PSL}}(2,F)\), where F is an infinite locally finite field, or G contains a subgroup which is the direct product of an infinite abelian subgroup of prime exponent p and a finite non-abelian p-subgroup.

Keywords

Simple groups locally finite groups non-Abelian rank 

Mathematics Subject Classification

20E15 

Notes

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Dipartimento di Matematica e FisicaUniversità della Campania “Luigi Vanvitelli”CasertaItaly

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