The Ore conjecture

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

doi:10.4171/jems/220

The Ore conjecture

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

Einstein Institute of Mathematics

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

139 Scopus citations

Abstract

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 language	English
Pages (from-to)	939-1008
Number of pages	70
Journal	Journal of the European Mathematical Society
Volume	12
Issue number	4
DOIs	https://doi.org/10.4171/jems/220
State	Published - 2010

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title = "The Ore conjecture",

abstract = "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.",

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The Ore conjecture

Abstract

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