The Ore conjecture

Liebeck, Martin, et al. "The Ore conjecture." Journal of the European Mathematical Society 012.4 (2010): 939-1008. <http://eudml.org/doc/277698>.

@article{Liebeck2010,
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.},
author = {Liebeck, Martin, O’Brien, E.A., Shalev, Aner, Tiep, Pham},
journal = {Journal of the European Mathematical Society},
keywords = {finite nonabelian simple groups; commutators; characters; finite nonabelian simple groups; commutators; characters},
language = {eng},
number = {4},
pages = {939-1008},
publisher = {European Mathematical Society Publishing House},
title = {The Ore conjecture},
url = {http://eudml.org/doc/277698},
volume = {012},
year = {2010},
}

TY - JOUR
AU - Liebeck, Martin
AU - O’Brien, E.A.
AU - Shalev, Aner
AU - Tiep, Pham
TI - The Ore conjecture
JO - Journal of the European Mathematical Society
PY - 2010
PB - European Mathematical Society Publishing House
VL - 012
IS - 4
SP - 939
EP - 1008
AB - 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.
LA - eng
KW - finite nonabelian simple groups; commutators; characters; finite nonabelian simple groups; commutators; characters
UR - http://eudml.org/doc/277698
ER -