Covering numbers for Chevalley groups

Erich W. Ellers; Nikolai Gordeev; Marcel Herzog

doi:10.1007/BF02810691

Covering numbers for Chevalley groups

Erich W. Ellers, Nikolai Gordeev, Marcel Herzog

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

Let G be a quasisimple Chevalley group. We give an upper bound for the covering number cn(G) which is linear in the rank of G, i.e. we give a constant d such that for every noncentral conjugacy class C of G we have C^rd = G, where r = rankG.

Original language	English
Pages (from-to)	339-372
Number of pages	34
Journal	Israel Journal of Mathematics
Volume	111
DOIs	https://doi.org/10.1007/BF02810691
State	Published - 1999

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title = "Covering numbers for Chevalley groups",

abstract = "Let G be a quasisimple Chevalley group. We give an upper bound for the covering number cn(G) which is linear in the rank of G, i.e. we give a constant d such that for every noncentral conjugacy class C of G we have Crd = G, where r = rankG.",

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Covering numbers for Chevalley groups

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