次正规2-路传递Cayley图

Subnormal 2-path-transitive Cayley Graphs

群G上的Cayley是正规的当且仅当G的全体右乘作用构成的子群G在这个图的全自同构群中是次正规的.若此时全自同构群还在该图的2-路集上传递,则称Cayley图是次正规2-路传递的.2—路传递图是2—弧传递图的自然推广,次正规2_弧传递Cayley图已经被分类.对次正规2-路传递但不是2-弧传递的Cayley图给出一个刻画.

In this paper we study a type of Cayley graphs known as the subnormal Cayley graphs.We present a characterization of 2-path tranistive but not 2-arc transitive subnormal Cayley graphs.Such graphs are important because the line graph of a 2-path tranistive but not 2-arc transitive graph is half-arc-transitive.