FUSION SYSTEMS

被引：28
作者：
Aschbacher, Michael [1 ]
Oliver, Bob [2 ]
机构：
[1] CALTECH, Dept Math, Pasadena, CA 91125 USA
[2] Univ Paris 13, Sorbonne Paris Cite, LAGA, UMR 7539,CNRS, 99 Av JB Clement, F-93430 Villetaneuse, France
来源：
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 53卷 / 04期
基金：
美国国家科学基金会;
关键词：
Fusion; Sylow subgroups; finite simple groups; classifying spaces; modular representation theory; LOCAL FINITE-GROUPS; COMPLETED CLASSIFYING-SPACES; EQUIVARIANT COHOMOLOGY RING; LINKING SYSTEMS; GLUING PROBLEM; P-GROUPS; HOMOTOPY-EQUIVALENCES; NORMAL SUBSYSTEMS; NILPOTENT BLOCKS; COMPACT-GROUPS;
D O I：
10.1090/bull/1538
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This is a survey article on the theory of fusion systems, a relatively new area of mathematics with connections to local finite group theory, algebraic topology, and modular representation theory. We first describe the general theory and then look separately at these connections.
引用
收藏
页码：555 / 615
页数：61
相关论文
共 120 条
[1]   LOCAL METHODS IN BLOCK THEORY [J].
ALPERIN, J ;
BROUE, M .
ANNALS OF MATHEMATICS, 1979, 110 (01) :143-157
[2]  
Alperin J., 1987, ARC C REPR FIN GROUP, V1, P369
[3]   SYLOW INTERSECTIONS AND FUSION [J].
ALPERIN, JL .
JOURNAL OF ALGEBRA, 1967, 6 (02) :222-&
[4]  
ALPERIN JL, 1986, CAMBRIDGE STUDIES AD, V11
[5]  
Altinel T., 2008, MATH SURVEYS MONOGRA, V145
[6]  
Andersen K., REDUCED FUSION SYSTE
[7]   Reduced, tame and exotic fusion systems [J].
Andersen, Kasper K. S. ;
Oliver, Bob ;
Ventura, Joana .
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2012, 105 :87-152
[8]  
[Anonymous], 1993, J AM MATH SOC
[9]   CHARACTERIZATION OF CHEVALLEY GROUPS OVER FIELDS OF ODD ORDER [J].
ASCHBACHER, M .
ANNALS OF MATHEMATICS, 1977, 106 (02) :353-398
[10]  
Aschbacher M., 1986, CAMBRIDGE STUDIES AD, V10
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