@article{d38ede46910d4b6e98d73813b9848125,
title = "Commutators in finite quasisimple groups",
abstract = "The Ore Conjecture, now established, states that every element of every finite non-abelian simple group is a commutator. We prove that the same result holds for all the finite quasisimple groups, with a short explicit list of exceptions. In particular, the only quasisimple groups with non-central elements which are not commutators are covers of A6, A7, L3(4) and U4(3).",
author = "Liebeck, {Martin W.} and O'Brien, {E. A.} and Aner Shalev and Tiep, {Pham Huu}",
note = "Funding Information: Liebeck acknowledges the support of a Maclaurin Fellowship from the New Zealand Institute of Mathematics and its Applications. O{\textquoteright}Brien acknowledges the support of the Marsden Fund of New Zealand (grant UOA 0721). Shalev acknowledges the support of an ERC Advanced Grant 247034, an EPSRC Visiting Fellowship, an Israel Science Foundation Grant, and a Bi-National Science Foundation grant United States-Israel. Tiep acknowledges the support of the NSF (grant DMS-0901241).",
year = "2011",
month = dec,
doi = "10.1112/blms/bdr043",
language = "الإنجليزيّة",
volume = "43",
pages = "1079--1092",
journal = "Bulletin of the London Mathematical Society",
issn = "0024-6093",
publisher = "John Wiley and Sons Ltd",
number = "6",
}