qp阶群陪集图的CI性

The CI-property of coset graphs of groups with order qp

Sabidussi陪集图X:=Sab(G,H,D)当子群H=1时恰是Cayley图,故Sabidussi陪集图较Cayley图更具一般性,类似于Cayley图的CI性,我们同样可以研究Sabidussi陪集图的CI性.本文主要研究qp阶群陪集图的CI性(其中q与p是满足q<p的素数),并得到一些结果.

The Sabidussi coset graph X： = Sab （G, H, D） is just a Cayley graph if the subgroup H is equal to 1. It means that researching the Sabidussi coset graph has more general significance than doing the Cayley graph. Like the Cayley graph,we can also research the CI-property of Sabidussi coset graphs. This paper mainly investigates the CI-property of coset graphs of groups with order qp（q〈p） and give some results.