Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Short Laws for Finite Groups of Lie Type   We produce new short laws in two variables valid in finite groups of Lie
type. Our result improves upon results of Kozma and the second named author,
and is sharp up to logarithmic factors, for all families except possibly the
Suzuki groups. We also produce short laws valid for generating pairs and random
pairs in finite groups of Lie type, and, conditional on Babai's diameter
conjecture, make effective the dependence of our bounds on the rank. Our proof
uses, among other tools, the Classification of Finite Simple Groups,
Aschbacher's structure theorem for maximal subgroups for classical groups, and
upper bounds on the diameters of finite simple groups due to Breuillard, Green,
Guralnick, Pyber, Szabo and Tao.

23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas