Asymptotic automorphism groups of Cayley digraphs and graphs of abelian groups of prime-power order

作者：Dobson Edward^*

来源：Ars Mathematica Contemporanea, 2010, 3(2): 201-214.

• Cayley graph
• abelian group
• automorphism group
• asymptotic
• p-group

We show that almost every Cayley graph Gamma of an abelian group G of odd prime-power order has automorphism group as small as possible. Additionally, we show that almost every Cayley (di)graph Gamma of an abelian group G of odd prime-power order that does not have automorphism group as small as possible is a normal Cayley (di)graph of G (that is, G(L)(sic)Aut(Gamma)).

• 出版日期2010