A 2-arc Transitive Hexavalent Nonnormal Cayley Graph on A119

被引：0
|
作者：
Ling, Bo [1 ]
Li, Wanting [1 ]
Lou, Bengong [2 ]
机构：
[1] Yunnan Minzu Univ, Sch Math & Comp Sci, Kunming 650031, Yunnan, Peoples R China
[2] Yunnan Univ, Sch Math & Stat, Kunming 650031, Yunnan, Peoples R China
来源：
MATHEMATICS | 2021年 / 9卷 / 22期
基金：
中国国家自然科学基金;
关键词：
simple group; nonnormal Cayley graph; arc-transitive graph; automorphism group;
D O I：
10.3390/math9222935
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A Cayley graph & UGamma;=Cay(G,S) is said to be normal if the base group G is normal in Aut & UGamma;. The concept of the normality of Cayley graphs was first proposed by M.Y. Xu in 1998 and it plays a vital role in determining the full automorphism groups of Cayley graphs. In this paper, we construct an example of a 2-arc transitive hexavalent nonnormal Cayley graph on the alternating group A119. Furthermore, we determine the full automorphism group of this graph and show that it is isomorphic to A120.
引用
收藏
页数：7
相关论文
共 50 条
  • [1] A 2-ARC TRANSITIVE PENTAVALENT CAYLEY GRAPH OF A39
    Ling, Bo
    Lou, Ben Gong
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2016, 93 (03) : 441 - 446
  • [2] On Classification of 2-Arc Transitive Cayley Graphs of the Dicyclic Group
    Shahsavaran, M.
    Darafsheh, M. R.
    Salarian, M. R.
    GRAPHS AND COMBINATORICS, 2019, 35 (05) : 1179 - 1195
  • [3] On Classification of 2-Arc Transitive Cayley Graphs of the Dicyclic Group
    M. Shahsavaran
    M. R. Darafsheh
    M. R. Salarian
    Graphs and Combinatorics, 2019, 35 : 1179 - 1195
  • [4] 2-Arc-transitive hexavalent Cayley graphs on nonabelian simple groups
    Pan, Jiangmin
    Wu, Cixuan
    Zhang, Yingnan
    COMMUNICATIONS IN ALGEBRA, 2022, 50 (11) : 4891 - 4905
  • [5] ON FINITE AFFINE 2-ARC TRANSITIVE GRAPHS
    IVANOV, AA
    PRAEGER, CE
    EUROPEAN JOURNAL OF COMBINATORICS, 1993, 14 (05) : 421 - 444
  • [6] Almost Covers Of 2-Arc Transitive Graphs
    Sanming Zhou
    Combinatorica, 2004, 24 : 731 - 745
  • [7] Almost covers of 2-arc transitive graphs
    Zhou, SM
    COMBINATORICA, 2004, 24 (04) : 731 - 745
  • [8] Almost covers of 2-arc transitive graphs
    Sanming Zhou
    Combinatorica, 2007, 27 : 745 - 746
  • [9] SYMMETRIC GRAPHS WITH 2-ARC TRANSITIVE QUOTIENTS
    Xu, Guangjun
    Zhou, Sanming
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2014, 96 (02) : 275 - 288
  • [10] On automorphism groups of quasiprimitive 2-arc transitive graphs
    Li, Cai Heng
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2008, 28 (02) : 261 - 270
12345