Realisability of p-stable fusion systems

被引：2
|
作者：
Hethelyi, L. [1 ]
Szoke, M. [2 ]
机构：
[1] Budapest Univ Technol & Econ, Dept Algebra, Budapest, Hungary
[2] Obuda Univ, Inst Appl Math, John von Neumann Fac Informat, Budapest, Hungary
来源：
JOURNAL OF ALGEBRA | 2019年 / 521卷
关键词：
Saturated fusion systems; Soluble fusion systems; p-stability; Realisable fusion systems; Characteristic p-functors; SUBGROUP;
D O I：
10.1016/j.jalgebra.2018.11.029
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to investigate p-stable fusion systems, where p is an odd prime. We examine realisable fusion systems and prove a generalisation of a result of G. Glauberman. Then we prove that p-stability is determined by the normaliser systems of centric radical subgroups. Finally, we prove that all p-stable fusion systems are realisable provided there exists a stable p-functor. (C) 2018 Elsevier Inc. All rights reserved.
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页码：247 / 256
页数：10
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