ncku-talk2010-12-09

NCTS(South) MiniWorkshop on Algebra / NCKU Math Colloquium

DATE 2010-12-09　11:10-12:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER Prof. Eamonn O'Brien（University of Auckland）

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 remained open for various infinite families of simple groups. Recently, in a joint project with Liebeck, Shalev and Tiep, we developed new strategies, combining character theoretic methods with other ingredients, and used them to establish the conjecture.

NCTS(South) MiniWorkshop on Algebra / NCKU Math Colloquium

DATE	2010-12-09　11:10-12:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	Prof. Eamonn O'Brien（University of Auckland）

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 remained open for various infinite families of simple groups. Recently, in a joint project with Liebeck, Shalev and Tiep, we developed new strategies, combining character theoretic methods with other ingredients, and used them to establish the conjecture.