ON ALPERIN CONJECTURE FOR FINITE REDUCTIVE GROUPS

被引：0

作者：

LEHRER, GI ^{[1
]}

THEVENAZ, J ^{[1
]}

机构：

[1] UNIV LAUSANNE,INST MATH,CH-1015 LAUSANNE,SWITZERLAND

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1992年 / 315卷 / 13期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A recent theorem of the first author gives a count (with signs) of the classes of regular semi-simple elements of a finite reductive group. In this Note, we show that this formula also provides a proof of Alperin's conjecture for such a group in natural characteristic. This proof is entirely different from the original proof of Cabanes [2]. It involves identification of the orbit space of a reductive group on its spherical building.

引用

页码：1347 / 1351

页数：5

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