Automorphism groups of 4-valent connected Cayley graphs of p-groups

作者：Feng YQ; Kwak JH; Wang RJ

来源：Chinese Annals of Mathematics Series B, 2001, 22(3): 281-286.

DOI：10.1142/S0252959901000292

• Cayley graphs
• normal Cayley graphs
• automorphism groups

Let G be a p-group (p odd prime) and let X = Cay(G, S) be a 4-valent connected Cayley graph. It is shown that if G has nilpotent class 2, then the automorphism group Aut(X) of X is isomorphic to the semidirect product G(R) x Aut(G, S), where G(R) is the right regular representation of G and Aut(G, S) is the subgroup of the automorphism group Aut(G) of G which fixes S setwise. However the result is not true if G has nilpotent class 3 and this paper provides a counterexample.

• 出版日期2001-7
• 单位首都师范大学