SPARSE FUSION SYSTEMS

被引：5

作者：

Glesser, Adam ^{[1
]}

机构：

[1] Calif State Univ Fullerton, Dept Math, Fullerton, CA 92831 USA

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2013年 / 56卷 / 01期

关键词：

fusion systems; p-nilpotency; groups; sparse; LOCAL FINITE-GROUPS; CHARACTERISTIC SUBGROUP; THEOREMS;

D O I：

10.1017/S0013091512000090

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define sparse saturated fusion systems and show that, for odd primes, sparse systems are constrained. This simplifies the proof of the Glauberman-Thompson p-Nilpotency Theorem for fusion systems and a related theorem of Stellmacher. We then define a more restrictive class of saturated fusion systems, called extremely sparse systems, that are constrained for all primes.

引用

页码：135 / 150

页数：16

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