The Ore conjecture

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

Research output: Contribution to journalArticlepeer-review

134 Scopus citations


The Ore conjecture, posed in 1951, states that every element of every finite non-abelian simple group is a commutator. Despite considerable effort, it remains open for various infinite families of simple groups. In this paper we develop new strategies, combining character-theoretic methods with other ingredients, and use them to establish the conjecture.

Original languageAmerican English
Pages (from-to)939-1008
Number of pages70
JournalJournal of the European Mathematical Society
Issue number4
StatePublished - 2010


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