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arXiv:1401.7462 [math.GR]AbstractReferencesReviewsResources

On element orders in covers of finite simple groups of Lie type

M. A. Grechkoseeva

Published 2014-01-29, updated 2014-09-22Version 2

By a proper cover of a finite group G we mean an extension of a nontrivial finite group by G. Our purpose is to show that a proper cover of a finite simple group L of Lie type always contains an element whose order differs from the element orders of L provided that the Lie rank of L is sufficiently large.

Comments: Preprint of an article submitted for consideration in Journal of Algebra and Its Applications $\copyright$ 2014 World Scientific Publishing Company, http://www.worldscientific.com/worldscinet/jaa
Categories: math.GR
Subjects: 20D06, 20D60
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