摘要
称群G的有向Cayley图X=Cay(G,S)是正规的,如果群G的右正则表示R(G)在图X的全自同构群Aut(X)中正规.给出了非交换群的2度有向Cayley图是正规的充分条件.另外,利用自同构群和查圈的方法决定了广义四元数群上的2度有向Cayley图的正规性.
We called a Cayley digraph X=Cay(G,S)normal if the right regular representation R(G)of G is normal in the full automorphism group Aut(X)of X.The sufficient conditions for the 2-valent Cayley digraphs of nonabelian groups to be normal are given.In addition,2-valent normal Cayley digraphs on generalized quaternion groups are determined by means of automorphism groups and checking the cycles.
作者
王丽
李圆
WANG Li;LI Yuan(School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454000,China)
出处
《数学的实践与认识》
北大核心
2020年第20期257-262,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(11501172)。
