WEIGHTS FOR CLASSICAL-GROUPS

被引：37

作者：

AN, JB ^{[1
]}

机构：

[1] UNIV ILLINOIS,DEPT MATH,CHICAGO,IL 60680

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 342卷 / 01期

关键词：

D O I：

10.2307/2154683

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper proves the Alperin's weight conjecture for the finite unitary groups when the characteristic r of modular representation is odd. Moreover, this paper proves the conjecture for finite odd dimensional special orthogonal groups and gives a combinatorial way to count the number of weights, block by block, for finite symplectic and even dimensional special orthogonal groups when r and the defining characteristic of the groups are odd.

引用

页码：1 / 42

页数：42

共 21 条

[1]

Alperin J.-L., 1987, P S PURE MATH 1, P369

[2] LARGE ABELIAN SUBGROUPS OF P-GROUPS [J].