Finite primitive distance-transitive graphs

被引:11
作者
van Bon, John [1 ]
机构
[1] Univ Calabria, Dipartimento Matemat, I-87036 Arcavacata Di Rende, Italy
关键词
PERMUTATION-GROUPS; PROJECTIVE-REPRESENTATIONS; MAXIMAL-SUBGROUPS; CLASSICAL-GROUPS; CHEVALLEY-GROUPS; QUADRATIC-FORMS; MINIMAL DEGREES; REGULAR GRAPHS; LINEAR-GROUPS; RANK;
D O I
10.1016/j.ejc.2005.04.014
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The status of the project of classifying finite primitive distance-transitive graphs is surveyed. Particular attention is given to the structure of the proof of the recently obtained classification of finite primitive affine distance-transitive graphs. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:517 / 532
页数:16
相关论文
共 59 条
[1]   MAXIMAL-SUBGROUPS OF FINITE-GROUPS [J].
ASCHBACHER, M ;
SCOTT, L .
JOURNAL OF ALGEBRA, 1985, 92 (01) :44-80
[2]  
ASCHBACHER M, 1984, INVENT MATH, V76, P467
[3]  
BROUWER A, 1992, EUR J COMBIN, V13, P71
[4]  
BROUWER AE, 1989, ERGEBNISSE MATH
[5]   FINITE PERMUTATION-GROUPS AND FINITE SIMPLE-GROUPS [J].
CAMERON, PJ .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1981, 13 (JAN) :1-22
[6]   Affine distance-transitive graphs: the cross characteristic case [J].
Cohen, AM ;
Magaard, K ;
Shpectorov, S .
EUROPEAN JOURNAL OF COMBINATORICS, 1999, 20 (05) :351-373
[7]   Affine distance-transitive groups of dimension one [J].
Cohen, AM ;
Ivanov, AA .
EUROPEAN JOURNAL OF COMBINATORICS, 2000, 21 (02) :191-195
[8]  
COHEN AM, 2004, ENCY MATH APPL, V102, P222
[9]  
COHEN AS, UNPUB
[10]  
CONWAY J. H., 1985, ATLAS of Finite Groups