A Family of Nonnormal Cayley Digraphs
We call a Cayley digraph Γ=Cay(G, S) normal for G if G_R, the right regular representationof G, is a normal subgroup of the full automorphism group Aut(Γ) of Γ. In this paper we determinethe normality of Cayley digraphs of valency 2 on nonabelian groups of order 2p~2 (p odd prime). As aresult, a fam...
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Published in | Acta mathematica Sinica. English series Vol. 17; no. 1; pp. 147 - 152 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Heidelberg
Springer Nature B.V
2001
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Subjects | |
Online Access | Get full text |
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Summary: | We call a Cayley digraph Γ=Cay(G, S) normal for G if G_R, the right regular representationof G, is a normal subgroup of the full automorphism group Aut(Γ) of Γ. In this paper we determinethe normality of Cayley digraphs of valency 2 on nonabelian groups of order 2p~2 (p odd prime). As aresult, a family of nonnormal Cayley digraphs is found. |
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Bibliography: | Cayley digraph;Normal Cayley digraph We call a Cayley digraph Γ=Cay(G, S) normal for G if G_R, the right regular representation of G, is a normal subgroup of the full automorphism group Aut(Γ) of Γ. In this paper we determine the normality of Cayley digraphs of valency 2 on nonabelian groups of order 2p~2 (p odd prime). As a result, a family of nonnormal Cayley digraphs is found. 11-2039/O1 Yan Quan FENG;Dian Jun WANG;Jing Lin CHEN Department of Mathematics, Northern JiaoTong University, Beijing 100044, P. R. China Department of Mathematics, Tsinghua University, Beijing 100084, P. R. China Department of Mathematics, Tangshan Normal College. Tangshan 063000, P. R. China |
ISSN: | 1439-8516 1439-7617 |
DOI: | 10.1007/s101140000097 |