The Ore conjecture
By Martin W. Liebeck, Eamonn A. O'Brien, Aner Shalev, Pham Huu Tiep. 2010
233 citations recorded by the source corpus.
Subfields: Artificial Intelligence, Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/e8d6f4ab0392f60baa22ef3e69e426d72ff3e73e
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
- A. Kanel’-Belov
- D. Segal
- Roman Yavich
- Nikolay Nikolov
- Louis H. Rowen
- Sergey Malev
- Andreas Thom
- Ievgen V. Bondarenko
In Discrete Mathematics and Combinatorics
- Nikolay Nikolov
- D. Segal
- A. Kanel’-Belov
- Roman Yavich
- Louis H. Rowen
- Sergey Malev
- Andreas Thom
- Gareth Wilkes
In Geometry and Topology
- Nikolay Nikolov
- D. Segal
- A. Kanel’-Belov
- Louis H. Rowen
- Sergey Malev
- Andreas Thom
- Gareth Wilkes
- Zur Izhakian
Citations in the corpus
- Evaluations of Noncommutative Polynomials on Algebras: Methods and Problems, and the L'vov-Kaplansky Conjecture (2020, methodology): “his area was initially stimulated by the positive solution of Ore’s problem: Every element of a nite simple group is a single commutator (see [38] and the nal solution in Liebeck{O’Brien{Shalev{ Tiep [77]; a survey is given in [84]). Formidable progress in the description of images of word maps on n”
- Generators and commutators in finite groups; abstract quotients of compact groups (2011, methodology): “f groups of Lie type, such as 8 the proportion of regular semisimple elements in these groups, and the detailed structure of their automorphisms. Recent results such as the proof of the Ore Conjecture[LOST], which saysthat simple groupshavecommutatorwidth equal to one, lead to sharper estimates for ”