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Centralizers of abelian subgroups in locally finite simple groups

Published online by Cambridge University Press:  20 January 2009

M. Kuzucuoǧlu
M. Kuzucuoǧlu
Affiliation:
Department of Mathematics, Middle East Technical University, 06531, Ankara, TurkeyE-mail address:matmah@rorqual.cc.metu.edu.tr
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Abstract

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It is shown that, if a non-linear locally finite simple group is a union of finite simple groups, then the centralizer of every element of odd order has a series of finite length with factors which are either locally solvable or non-abelian simple. Moreover, at least one of the factors is non-linear simple. This is also extended to abelian subgroup of odd orders.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 40 , Issue 2 , June 1997 , pp. 217 - 225
Copyright
Copyright © Edinburgh Mathematical Society 1997

References

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