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@article{Bezrukavnikov:2018:10.4310/ACTA.2018.v221.n1.a1,
author = {Bezrukavnikov, R and Liebeck, MW and Shalev, A and Tiep, PH},
doi = {10.4310/ACTA.2018.v221.n1.a1},
journal = {Acta Mathematica},
pages = {1--57},
title = {Character bounds for finite groups of Lie type},
url = {http://dx.doi.org/10.4310/ACTA.2018.v221.n1.a1},
volume = {221},
year = {2018}
}

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TY  - JOUR
AB  - We establish new bounds on character values and character ratios for finite groups G of Lie type, which are considerably stronger than previously known bounds, and which are best possible in many cases. These bounds have the form |χ(g)| ≤ cχ(1)αg , and give rise to a variety of applications, for example to covering numbers and mixing times of random walks on such groups. In particular we deduce that, if G is a classical group in dimension n, then, under some conditions on G and g ∈ G, the mixing time of the random walk on G with the conjugacy class of g as a generating
AU  - Bezrukavnikov,R
AU  - Liebeck,MW
AU  - Shalev,A
AU  - Tiep,PH
DO  - 10.4310/ACTA.2018.v221.n1.a1
EP  - 57
PY  - 2018///
SN  - 0001-5962
SP  - 1
TI  - Character bounds for finite groups of Lie type
T2  - Acta Mathematica
UR  - http://dx.doi.org/10.4310/ACTA.2018.v221.n1.a1
VL  - 221
ER  -

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