FUSION SYSTEMS ON SMALL p-GROUPS

被引：20

作者：

Craven, David A. ^{[1
]}

Glesser, Adam ^{[2
]}

机构：

[1] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England

[2] Calif State Univ Fullerton, Dept Math, Fullerton, CA 92834 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 364卷 / 11期

关键词：

FINITE-GROUPS; DADE GROUP; 2-GROUPS; AUTOMORPHISM; EXTENSIONS;

D O I：

10.1090/S0002-9947-2012-05580-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we study several classes of 'small' 2-groups: we complete the classification, started by Stancu, of all saturated fusion systems on metacyclic p-groups for all primes p. We consider Suzuki 2-groups, and classify all center-free saturated fusion systems on 2-groups of 2-rank 2. We end by classifying all possible F-centric, F-radical subgroups in saturated fusion systems on 2-groups of 2-rank 2.

引用

页码：5945 / 5967

页数：23

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