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Normality Of Four Degree Cayley Graphs For One Classe Of Order6p~2Groups

Posted on:2015-07-14Degree:MasterType:Thesis
Country:ChinaCandidate:M K SongFull Text:PDF
GTID:2180330431495674Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
Let G be a finite group and T a subset of G such that1(?)T. A Cayley graph X=Cay(G, T) of group G is said to be normal if R(G), the group of right multiplications is normal in Aut(X). In this paper, by investigating the normality, we classify4-valent Cayley graphs of one group of order6p2, G=<a, b|a3p2=b2=1,ab=a2p2-1>,in this paper,we obtain an infinite families of nonnormal Cayley graphs.
Keywords/Search Tags:Cayley graph, normal cayley graph, graphs of order6p~2
PDF Full Text Request
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