A local strategy to decide the Alperin and Dade conjectures

被引：11

作者：

An, JB ^{[1
]}

O'Brien, EA ^{[1
]}

机构：

[1] Univ Auckland, Dept Math, Auckland, New Zealand

来源：

JOURNAL OF ALGEBRA | 1998年 / 206卷 / 01期

关键词：

D O I：

10.1006/jabr.1997.7410

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a new strategy which exploits both the maximal and p-local subgroup structure of a given finite simple group in order to decide the Alperin and Dade conjectures for this group. We demonstrate the computational effectiveness of this approach by using it to verify these conjectures for the Conway simple group Co-2. (C) 1998 Academic Press.

引用

页码：183 / 207

页数：25

共 11 条

[1]

Alperin J.L., 1986, P S PURE MATH, V47, P369

[2] THE ALPERIN AND DADE CONJECTURES FOR THE SIMPLE MATHIEU GROUPS [J].