THE PROOF OF ORE'S CONJECTURE [after Ellers-Gordeev and Liebeck-O'Brien-Shalev-Tiep]

被引：0

作者：

Malle, Gunter ^{[1
]}

机构：

[1] TU Kaiserslautern, Fachbereich Math, D-67653 Kaiserslautern, Germany

来源：

ASTERISQUE | 2014年 / 361期

关键词：

PRESCRIBED SEMISIMPLE PART; FINITE SIMPLE-GROUPS; CONJUGACY CLASSES; WORD MAPS; GAUSS DECOMPOSITION; CHEVALLEY-GROUPS; LIE TYPE; COMMUTATORS; PRODUCTS; REPRESENTATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Ore's conjecture asserts that in a non-abelian finite simple group, every element is a commutator. The proof of this statement was recently completed by Liebeck, O'Brien, Shalev and Tiep. We report on the various ingredients used in that proof, reaching from Deligne-Lusztig character theory to explicit computations. We also mention several related, still open problems.

引用

页码：325 / +

页数：25

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