English

On the Shortest Identity in Finite Simple Groups of Lie Type

Group Theory 2010-03-18 v2 Combinatorics

Abstract

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

Keywords

Cite

@article{arxiv.0808.0622,
  title  = {On the Shortest Identity in Finite Simple Groups of Lie Type},
  author = {Uzy Hadad},
  journal= {arXiv preprint arXiv:0808.0622},
  year   = {2010}
}

Comments

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