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

^*Corresponding author for this work

School of Mathematical Sciences

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

33 Scopus citations

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

Access to Document

10.1007/BF02810691

Cite this

@article{e4a62347100d4ab28e42197c00cb57ef,

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.",

author = "Ellers, {Erich W.} and Nikolai Gordeev and Marcel Herzog",

year = "1999",

doi = "10.1007/BF02810691",

language = "אנגלית",

volume = "111",

pages = "339--372",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

}

TY - JOUR

T1 - Covering numbers for Chevalley groups

AU - Ellers, Erich W.

AU - Gordeev, Nikolai

AU - Herzog, Marcel

PY - 1999

Y1 - 1999

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001023114&partnerID=8YFLogxK

U2 - 10.1007/BF02810691

DO - 10.1007/BF02810691

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0001023114

SN - 0021-2172

VL - 111

SP - 339

EP - 372

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Covering numbers for Chevalley groups

Abstract

Access to Document

Other files and links

Fingerprint

Cite this