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Title: Asymptotic automorphism groups of Cayley digraphs and graphs of abelian groups of prime-power order Dobson, Edward (Author) http://amc.imfm.si/index.php/amc/article/viewFile/120/116 English Not categorized 1.01 - Original Scientific Article IAM - Andrej Marušič Institute We show that almost every Cayley graph ▫$\Gamma$▫ of an abelian group ▫$G$▫ of odd prime-power order has automorphism group as small as possible. Additionally, we show that almost every Cayley (di)graph ▫$\Gamma$▫ of an abelian group ▫$G$▫ of odd prime-power order that does not have automorphism group as small as possible is a normal Cayley (di)graph of ▫$G$▫ (that is, ▫$G_L \triangleleft {\rm Aut}(\Gamma))$▫. mathematics, graph theory, Cayley graph, abelian group, automorphism group, asymptotic, ▫$p$▫-group 2010 str. 201-214 Vol. 3, no. 2 1855-3966 519.17:512.54 15870041 2542 59 Document is not linked to any category.

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