摘要
群G的一个Cayley图X=Cay(G,S)称为正规的,如果右乘变换群R(G)在Aut X中正规.研究了4m阶半二面体群G=〈a,b a2m=b2=1,ab=am-1〉的3度和4度Cayley图的正规性,其中m=2r且r>2,并得到了几类非正规的Cayley图.
A cayley graph X = Cay（G,S） of group G is said to be normal if R（G）, the group of right multiplication, is normal in Aut X. In this paper, we investigate the normality of all cubic and tetravaluent cayley graphs of semi-dihedral group G of order 4m, where G=（a,b｜a^2m=b^2=1,a^b=a^m-1） and m=2^r, r〉2. In addition, we obtain several infinite families of non-normal cayley graphs of semi-dihedral groups.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第6期223-232,共10页
Mathematics in Practice and Theory
基金
国家自然科学基金(10571013)
