称点传递图Γ是X-局部本原的,如果X是其自同构群Aut(Γ)的子群,且对Γ的任意顶点v,Xv都本原地作用在Γ(v)上。本文完全分类了当|X|=p2qr时的X-局部本原图。
A vertex-transitive graph Γ is called X-locally primitive if X is a subgroup of its automorphism group,and for any vertex v∈V(Γ),Xv acts primitively on Γ(v).The paper aims to classify locally primitive graphs of group with order p2qr.