On automorphism groups of circulant digraphs of square-free order

被引:11
作者
Dobson, E
Morris, J
机构
[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA
[2] Univ Lethbridge, Dept Math & Comp Sci, Lethbridge, AB T1K 3M4, Canada
关键词
automorphisms; automorphism group; circulant graphs; Cayley graphs; graphs; directed graphs;
D O I
10.1016/j.disc.2004.03.018
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that the full automorphism group of a circulant digraph of square-free order is either the intersection of two 2-closed groups, each of which is the wreath product of 2-closed groups of smaller degree, or contains a transitive normal subgroup which is the direct product of two 2-closed groups of smaller degree. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:79 / 98
页数:20
相关论文
共 24 条
[1]   A classification of 2-arc-transitive circulants [J].
Alspach, B ;
Conder, MDE ;
Marusic, D ;
Xu, MY .
JOURNAL OF ALGEBRAIC COMBINATORICS, 1996, 5 (02) :83-86
[2]  
Alspach B., 1973, Journal of Combinatorial Theory, Series B, V15, P12, DOI 10.1016/0095-8956(73)90027-0
[3]  
[Anonymous], 1979, Graph Theory
[4]  
BERGGREN JL, 1972, B AUSTR MATH SOC, V7, P131
[5]   FINITE PERMUTATION-GROUPS AND FINITE SIMPLE-GROUPS [J].
CAMERON, PJ .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1981, 13 (JAN) :1-22
[6]  
Conway J.H, ATLAS FINITE GROUPS
[7]   Isomorphism problem for Cayley graphs of Z(p)(3) [J].
Dobson, E .
DISCRETE MATHEMATICS, 1995, 147 (1-3) :87-94
[8]   Transitive permutation groups of prime-squared degree [J].
Dobson, E ;
Witte, D .
JOURNAL OF ALGEBRAIC COMBINATORICS, 2002, 16 (01) :43-69
[9]  
DOBSON E, IN PRESS POLYNOMIAL
[10]  
Elspas B., 1970, J COMBINATORIAL THEO, V9, P297, DOI 10.1016/S0021-9800(70)80068-0