On the Shortest Identity in Finite Simple Groups of Lie Type

Details On the Shortest Identity in Finite Simple Groups of Lie Type On the Shortest Identity in Finite Simple Groups of Lie Type

2008-08-05

arxiv.org/abs/0808.0622v2

Mathematics

Group Theory

13 pages, Mildly revised version, accepted for publication by Journal of Group Theory

Scientific paper

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 $r$.

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