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Products of conjugacy classes in Chevalley groups II. Covering and generation
Authors:Nikolai Gordeev  Jan Saxl
Institution:(1) Department of Mathematics, Russian State Pedagogical University, Moijka 48, 191-186 Sankt Petersburg, Russia;(2) Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Wilberforce Road, CB3 0WB Cambridge, England
Abstract:In this paper we establish a relationship between generating numbers and covering numbers of conjugacy classes in Chevalley groups over algebraically closed fields. The authors gratefully acknowledge EPSRC grant GR58542. The first author acknowledges further a grant SFB 343 “Diskrete Strukturen in der Mathematik”. The second author thanks the Institute for Advanced Studies at The Hebrew University for its hospitality.
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