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.

引用

页码：247 / 256

页数：10

共 12 条

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