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.
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