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arXiv · 1401.7462

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

M. A. Grechkoseeva
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Abstract

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.

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M. A. Grechkoseeva. 2014-09-29. On element orders in covers of finite simple groups of Lie type. https://doi.org/10.1142/s0219498815500565

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