CONTROL OF FUSION IN FUSION SYSTEMS
CONTROL OF FUSION IN FUSION SYSTEMS
复制标题
DOI：
10.1142/s0219498806002034
复制
发表时间：
2006-12
影响因子：
0.8
通讯作者：
R. Stancu
中科院分区：
文献类型：
--
作者：
R. Stancu
设P是一个p-群，P上的一个融合系统，本文的目的是给出P的子群Q的正规化子为自身的充要条件。这推广了Gilotti和Serena关于有限群的一个结果。作为应用，我们找到了几类抵抗p-群，它们是p-群P，使得对于P上的任何融合系统，正规化子等于。
Let P be a p-group and a fusion system on P. The aim of this paper is to give necessary and sufficient conditions on a subgroup Q of P for the normalizer to be itself. This generalizes a result of Gilotti and Serena on finite groups. As an application we find some classes of resistant p-groups, which are p-groups P such that the normalizer is equal to , for any fusion system on P.