Random generation of finite simple groups by p-regular or p-singular elements

Aner Shalev

doi:10.1007/BF02773374

Random generation of finite simple groups by p-regular or p-singular elements

Aner Shalev^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

3 Scopus citations

Abstract

Let p be a fixed prime and let G be a finite simple group. It is shown that two randomly chosen elements of G of orders prime to p generate G with probability tending to 1 as |G| → ∞. This answers a question of Kantor. Some related results are also established.

Original language	English
Pages (from-to)	53-60
Number of pages	8
Journal	Israel Journal of Mathematics
Volume	125
DOIs	https://doi.org/10.1007/BF02773374
State	Published - 2001

Access to Document

10.1007/BF02773374

Cite this

@article{e6eec083d4fc41709a7551ef9d966de2,

title = "Random generation of finite simple groups by p-regular or p-singular elements",

abstract = "Let p be a fixed prime and let G be a finite simple group. It is shown that two randomly chosen elements of G of orders prime to p generate G with probability tending to 1 as |G| → ∞. This answers a question of Kantor. Some related results are also established.",

author = "Aner Shalev",

year = "2001",

doi = "10.1007/BF02773374",

language = "אנגלית",

volume = "125",

pages = "53--60",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

}

TY - JOUR

T1 - Random generation of finite simple groups by p-regular or p-singular elements

AU - Shalev, Aner

PY - 2001

Y1 - 2001

N2 - Let p be a fixed prime and let G be a finite simple group. It is shown that two randomly chosen elements of G of orders prime to p generate G with probability tending to 1 as |G| → ∞. This answers a question of Kantor. Some related results are also established.

AB - Let p be a fixed prime and let G be a finite simple group. It is shown that two randomly chosen elements of G of orders prime to p generate G with probability tending to 1 as |G| → ∞. This answers a question of Kantor. Some related results are also established.

UR - http://www.scopus.com/inward/record.url?scp=0035655365&partnerID=8YFLogxK

U2 - 10.1007/BF02773374

DO - 10.1007/BF02773374

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

AN - SCOPUS:0035655365

SN - 0021-2172

VL - 125

SP - 53

EP - 60

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Random generation of finite simple groups by p-regular or p-singular elements

Abstract

Access to Document

Other files and links

Fingerprint

Cite this