山西大学学报(自然科学版)2017,Vol.40Issue(2):221-224,4.DOI:10.13451/j.cnki.shanxi.univ(nat.sci.).2017.02.003
三类p4阶群的连通4度Cayley图
Three Kinds of Connected Tetravalent Cayley Graphs of Order p4
摘要
Abstract
The Cayley graph Cay(G,S) of finite group G is normal,if the right regular representation R(G) of G is normal in the full automorphism group of this Cayley graph.We mainly use the group theory,and prove three kinds of connected tetravalent Cayley graphs Cay(G,S) of finite p-group with order p4 and c(G)=3 are all normal.关键词
Cayley图/正规Cayley图/正规子群Key words
cayley graph/normal cayley graph/normal subgroup分类
数理科学引用本文复制引用
孙莉敏,张聪,徐尚进..三类p4阶群的连通4度Cayley图[J].山西大学学报(自然科学版),2017,40(2):221-224,4.基金项目
国家自然科学基金(11361006) (11361006)
广西壮族自治区自然科学基金(2013GSNSFAA019018) (2013GSNSFAA019018)
河南省高等学校重点科研项目(15B110008,17A110030) (15B110008,17A110030)
信阳学院院级科研项目(2016zd01) (2016zd01)