THE ESSENTIAL RANK OF FUSION SYSTEMS OF BLOCKS OF SYMMETRIC GROUPS

被引：8

作者：

An, Jianbei ^{[1
]}

Dietrich, Heiko ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2012年 / 22卷 / 01期

关键词：

Symmetric groups; conjugation families; essential rank;

D O I：

10.1142/S0218196711006686

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be a prime and let B be a p-block of the symmetric group S(n) on n points. Let (D, b(D)) be a Sylow B-subgroup of S(n). We consider the fusion system F-(D,F- bD)(G, B) and determine a precise formula for its essential rank. In addition, the p-blocks B which admit a p-local subgroup of S(n) controlling B-fusion are characterized.

引用

页数：15

共 12 条

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