Covering numbers for Chevalley groups

Citation
Ew. Ellers et al., Covering numbers for Chevalley groups, ISR J MATH, 111, 1999, pp. 339-372
Citations number
25
Categorie Soggetti
Mathematics
Journal title
ISRAEL JOURNAL OF MATHEMATICS
ISSN journal
00212172 → ACNP
Volume
111
Year of publication
1999
Pages
339 - 372
Database
ISI
SICI code
0021-2172(1999)111:<339:CNFCG>2.0.ZU;2-4
Abstract
Let G be a quasisimple Chevalley group. We give an upper bound for the cove ring 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.