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arXiv:0808.0622 [math.GR]AbstractReferencesReviewsResources

On the Shortest Identity in Finite Simple Groups of Lie Type

Uzy Hadad

Published 2008-08-05, updated 2010-03-17Version 2

We prove that the length of the shortest identity in a finite simple group of Lie type of rank $r$ defined over $\mathbb{F}_q$, is bounded (from above and below) by explicit polynomials in $q$ and $r$.

Comments: 13 pages, Mildly revised version, accepted for publication by Journal of Group Theory
Categories: math.GR, math.CO
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