Commutators in finite quasisimple groups

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

Research output: Contribution to journalArticlepeer-review


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 languageAmerican English
Pages (from-to)1079-1092
Number of pages14
JournalBulletin of the London Mathematical Society
Issue number6
StatePublished - Dec 2011

All Science Journal Classification (ASJC) codes

  • General Mathematics


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