4p^(2)阶广义四元数群的连通3度Cayley图

Connected 3-valent Cayley Graphs of Generalized Quaternion Groups of Order 4p^(2)

对于有限群G,通过下列方式构造群G的Cayley图:V(Г)=G,E(Г)={(g,sg)|g∈G,s∈S}。文章对4p^(2)阶广义四元数群的三元生成子集给出分类,通过查圈的方法得出两种同构类Cayley图是非正规的,其余皆是正规的结论。

For finite group G,the Cayley graph of group G is constructed in the following way:V(Г)=G,E(Г)={(g,sg)|g∈G,s∈S}.In this paper,we give two classifications for the 3-ary generating subsets of generalized quaternion groups of order 4p^(2),and concludes through the method of looking up cycles that two isomorphic Cayley graphs are non-normal,while the rest are normal.