Commutators in finite quasisimple groups

Martin W. Liebeck, E. A. O'Brien, Aner Shalev, Pham Huu Tiep

Research output: Contribution to journalArticle

15 Scopus citations

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).

Original languageEnglish (US)
Pages (from-to)1079-1092
Number of pages14
JournalBulletin of the London Mathematical Society
Volume43
Issue number6
DOIs
Publication statusPublished - Dec 2011

    Fingerprint

ASJC Scopus subject areas

  • Mathematics(all)

Cite this