Tetravalent Edge-transitive Cayley Graphs of PGL(2, p)  

作　　者：Xiao-hui HUA Shang-jin XU Yun-ping DENG 

机构地区：[1]College of Mathematics and Information Science,Henan Normal University [2]School of Mathematics and Information Science,Guangxi University [3]Department of Mathematics,Shanghai Jiaotong University

出　　处：《Acta Mathematicae Applicatae Sinica》2013年第4期837-842,共6页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.11171020,10961004);the Henan Province Foundation and Frontier Technology Research Plan(No.112300410205);the Education Department of Henan Science and Technology Research Key Project(No.13A110543);the Doctoral Fundamental Research Fund of Hennan Normal University(11102)

摘　　要：t Let F = Cay（G, S）, R（G） be the right regular representation of G. The graph Г is called normal with respect to G, if R（G） is normal in the full automorphism group Aut（F） of F. Г is called a bi-normal with respect to G if R（G） is not normal in Aut（Г）, but R（G） contains a subgroup of index 2 which is normal in Aut（F）. In this paper, we prove that connected tetravalent edge-transitive Cayley graphs on PGL（2,p） are either normal or bi-normal when p ≠ 11 is a prime.t Let F = Cay（G, S）, R（G） be the right regular representation of G. The graph Г is called normal with respect to G, if R（G） is normal in the full automorphism group Aut（F） of F. Г is called a bi-normal with respect to G if R（G） is not normal in Aut（Г）, but R（G） contains a subgroup of index 2 which is normal in Aut（F）. In this paper, we prove that connected tetravalent edge-transitive Cayley graphs on PGL（2,p） are either normal or bi-normal when p ≠ 11 is a prime.

关 键 词：Cayley graph NORMAL bi-normal simple group 

分 类 号：O157.5[理学—数学] TK4[理学—基础数学]