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ON THE CENTRALIZER OF AN ELEMENT OF ORDER FOUR IN A LOCALLY FINITE GROUP

Published online by Cambridge University Press:  09 August 2007

PAVEL SHUMYATSKY
PAVEL SHUMYATSKY*
Affiliation:
Department of Mathematics, University of Brasilia, Brasilia-DF, 70910-900 Brazil e-mail: pavel@mat.unb.br
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Abstract

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We prove that if G is a locally finite group admitting an automorphism φ of order four such that C G (φ) is Chernikov, then G has a soluble subgroup of finite index.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 2 , May 2007 , pp. 411 - 415
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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