پديدآورندگان :
Rahmani S Department of Mathematics, Faculty of Science, Shahid Rajaee, Teacher Training University, Tehran, 16785-136, Iran , Ghorbani M mghorbani@srttu.edu Department of Mathematics, Faculty of Science, Shahid Rajaee, Teacher Training University, Tehran, 16785-136, Iran
كليدواژه :
wreath product , normal edge , transitive Cayley graph , automorphism group
چكيده فارسي :
Let Cay(G; S) be a connected tetravalent Cayley graph. The Cayley graph
X = Cay(G; S) is normal edge-transitive if normalizer of R(G) in X acts transitively
on edges set. In this paper, we introduce some results regarding the automorphism
group of Cayley graphs. For each prime non-equal 2, 5, the automorphism group of
the Cayley graph Cay(G; S) on a regular p-group is the semi-direct product R(G)
and Aut(G; S) where R(G) is the right regular representation of G and Aut(G; S)
includes those permutation presentation of Aut(G) that fix the set S. Also we
determine the structure of automorphism group of all tetravalent normal edge-
transitive Cayley graphs of order pqr.
