|
|||||
|
|
Automorphism Groups of 2-Valent Connected Cayley Digraphs on Regular |
|
| Authors: | Yan-Quan Feng Ru-Ji Wang Ming-Yao Xu |
| Affiliation: | (1) Department of Mathematics, Northern Jiaotong University, Beijing 100044, P.R. China e-mail: yqfeng@center.njtu.edu.cn, CN;(2) Department of Mathematics, Capital Normal University, Beijing 100037, P.R. China, CN;(3) Department of Mathematics, Peking University, Beijing 100871, P.R. China e-mail: xumy@math.pku.edu.cn, CN |
| Abstract: | Let X=Cay(G,S) be a 2-valent connected Cayley digraph of a regular p-group G and let G R be the right regular representation of G. It is proved that if G R is not normal in Aut(X) then X≅[2K 1 ] with n>1, Aut(X) ≅Z 2 wrZ 2n , and either G=Z 2n+1 =<a> and S={a,a 2n+1 }, or G=Z 2n ×Z 2 =<a>×<b> and S={a,ab}. Received: May 26, 1999 Final version received: June 19, 2000 |
| Keywords: | . Cayley digraph, Normal Cayley digraph, p-Group, Regular p-group |
| 本文献已被 SpringerLink 等数据库收录！ | |