ZJ-theorems for fusion systems

被引：30

作者：

Kessar, Radha ^{[1
]}

Linckelmann, Markus ^{[1
]}

机构：

[1] Univ Aberdeen, Dept Math Sci, Aberdeen AB24 3UE, Scotland

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 360卷 / 06期

关键词：

D O I：

10.1090/S0002-9947-08-04275-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For p an odd prime, we generalise the Glauberman-Thompson pnilpotency theorem (Gorenstein, 1980) to arbitrary fusion systems. We de. ne a notion of Qd(p)-free fusion systems and show that if F is a Qd(p)-free fusion system on some finite p-group P, then F is controlled by W( P) for any Glauberman functor W, generalising Glauberman's ZJ-theorem (Glauberman, 1968) to arbitrary fusion systems.

引用

页码：3093 / 3106

页数：14

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