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
收藏
页码：247 / 256
页数：10
相关论文
共 50 条
  • [31] MINIMAL CONDITIONS IN P-STABLE LIMIT-THEOREMS
    JAKUBOWSKI, A
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1993, 44 (02) : 291 - 327
  • [32] Digital design verification based on P-stable semantics
    Zepeda, Claudia
    Raymundo Marcial-Romero, J.
    Osorio, Mauricio
    Castillo, Hilda
    Quintos, Daniel
    Arzola, Sergio
    20TH INTERNATIONAL CONFERENCE ON ELECTRONICS COMMUNICATIONS AND COMPUTERS (CONIELECOMP 2010), 2010, : 212 - 216
  • [33] More on P-stable convex sets in Banach spaces
    Davydou, Y
    Paulauskas, V
    Rackauskas, A
    JOURNAL OF THEORETICAL PROBABILITY, 2000, 13 (01) : 39 - 64
  • [34] P-stable Boundary Value Methods for Second Order IVPs
    Aceto, Lidia
    Ghelardoni, Paolo
    Magherini, Cecilia
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 1165 - 1168
  • [35] CHARACTERIZATIONS OF CERTAIN SUBCLASSES OF P-STABLE BANACH-SPACES
    TAKAHASHI, Y
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1985, 21 (01) : 53 - 54
  • [36] Data-Dependent Hashing Based on p-Stable Distribution
    Bai, Xiao
    Yang, Haichuan
    Zhou, Jun
    Ren, Peng
    Cheng, Jian
    IEEE TRANSACTIONS ON IMAGE PROCESSING, 2014, 23 (12) : 5033 - 5046
  • [37] Recent results on p-stable convex compact sets with applications
    Davydov, Y
    Paulauskas, V
    ASYMPTOTIC METHODS IN STOCHASTICS, 2004, 44 : 127 - 139
  • [38] THE CLASSIFICATION OF STRONGLY STATIONARY P-STABLE PROCESSES WITH CONTINUOUS TRAJECTORIES
    PISIER, G
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1984, 16 (01) : 9 - 10
  • [39] Fully graphic degree sequences and P-stable degree sequences
    Erdos, Peter L.
    Miklos, Istvan
    Soukup, Lajos
    ADVANCES IN APPLIED MATHEMATICS, 2025, 163
  • [40] RESAMPLING U-STATISTICS USING P-STABLE LAWS
    DEHLING, H
    DENKER, M
    WOYCZYNSKI, WA
    JOURNAL OF MULTIVARIATE ANALYSIS, 1990, 34 (01) : 1 - 13
12345