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.
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页码：325 / +
页数：25
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