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• W2735961973 abstract "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 $|chi(g)| le chi(1)^{alpha_g}$, 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 $g in G$, the mixing time of the random walk on $G$ with the conjugacy class of $g$ as a generating set is (up to a small multiplicative constant) $n/s$, where $s$ is the support of $g$." @default.
• W2735961973 created "2017-07-21" @default.
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• W2735961973 date "2017-07-12" @default.
• W2735961973 modified "2023-09-27" @default.
• W2735961973 title "Character bounds for finite groups of Lie type" @default.
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