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@article{Liebeck:2023:10.1007/s10013-023-00609-3,
author = {Liebeck, M and Simion, I},
doi = {10.1007/s10013-023-00609-3},
journal = {Vietnam Journal of Mathematics},
pages = {605--616},
title = {Covering numbers for simple algebraic groups},
url = {http://dx.doi.org/10.1007/s10013-023-00609-3},
volume = {51},
year = {2023}
}

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TY  - JOUR
AB  - Let G be a simple algebraic group over an algebraically closed field, and let C be a noncentral conjugacy class of G. The covering number cn(G, C) is defined to be the minimal k such that G = Ck , where Ck = {c1c2 · · · ck : ci ∈ C}. We prove that cn(G, C) ≤ c dim G dim C , where c is an explicit constant (at most 120). Some consequences on the width and generation of simple algebraic groups are given.
AU  - Liebeck,M
AU  - Simion,I
DO  - 10.1007/s10013-023-00609-3
EP  - 616
PY  - 2023///
SN  - 0866-7179
SP  - 605
TI  - Covering numbers for simple algebraic groups
T2  - Vietnam Journal of Mathematics
UR  - http://dx.doi.org/10.1007/s10013-023-00609-3
UR  - http://hdl.handle.net/10044/1/101485
VL  - 51
ER  -

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