On Cayley Graphs of Abelian Groups
نویسنده
چکیده
Let G be a finite Abelian group and Cay(G, S) the Cayley (di)-graph of G with respect to S, and let A = Aut Cay(G, S) and A1 the stabilizer of 1 in A. In this paper, we first prove that if A1 is unfaithful on S then S contains a coset of some nontrivial subgroup of G, and then characterize Cay(G, S) if AS 1 contains the alternating group on S. Finally, we precisely determine all m-DCI p-groups for 2 ≤ m ≤ p + 1, where p is a prime.
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تاریخ انتشار 1998