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@article{Liebeck:2021:imrn/rnz206,
author = {Liebeck, M and Tiep, PH},
doi = {imrn/rnz206},
journal = {International Mathematics Research Notices},
pages = {12054--12076},
title = {Character ratios for exceptional groups of Lie type},
url = {http://dx.doi.org/10.1093/imrn/rnz206},
volume = {2021},
year = {2021}
}

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TY  - JOUR
AB  - We prove character ratio bounds for finite exceptional groups G(q) of Lie type. These take the form |χ(g)|χ(1)≤cqk for all nontrivial irreducible characters χ and nonidentity elements g, where c is an absolute constant, and k is a positive integer. Applications are given to bounding mixing times for random walks on these groups and also diameters of their McKay graphs.
AU  - Liebeck,M
AU  - Tiep,PH
DO  - imrn/rnz206
EP  - 12076
PY  - 2021///
SN  - 1073-7928
SP  - 12054
TI  - Character ratios for exceptional groups of Lie type
T2  - International Mathematics Research Notices
UR  - http://dx.doi.org/10.1093/imrn/rnz206
UR  - https://academic.oup.com/imrn/advance-article/doi/10.1093/imrn/rnz206/5587718?login=true
UR  - http://hdl.handle.net/10044/1/72205
VL  - 2021
ER  -

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