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Automorphism Groups of 2-Valent Connected Cayley Digraphs on Regular p-Groups

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 Let X=Cay(G,S) be a 2-valent connected Cayley digraph of a regular p-group G and let G R be the right regular representation of G. It is proved that if G R is not normal in Aut(X) then X[2K 1 ] with n>1, Aut(X) ≅Z 2 wrZ 2n , and either G=Z 2n+1 =<a> and S={a,a 2n+1}, or G=Z 2n ×Z 2 =<a>×<b> and S={a,ab}.

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Received: May 26, 1999 Final version received: June 19, 2000

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Feng, YQ., Wang, RJ. & Xu, MY. Automorphism Groups of 2-Valent Connected Cayley Digraphs on Regular p-Groups. Graphs Comb 18, 253–257 (2002). https://doi.org/10.1007/s003730200018

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  • DOI: https://doi.org/10.1007/s003730200018

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