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Title:Asymptotic automorphism groups of Cayley digraphs and graphs of abelian groups of prime-power order
Authors:Dobson, Edward (Author)
Files:URL http://amc.imfm.si/index.php/amc/article/viewFile/120/116
 
Language:English
Work type:Not categorized
Tipology:1.01 - Original Scientific Article
Organization:IAM - Andrej Marušič Institute
Abstract: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, ▫$G_L \triangleleft {\rm Aut}(\Gamma))$▫.
Keywords:mathematics, graph theory, Cayley graph, abelian group, automorphism group, asymptotic, ▫$p$▫-group
Year of publishing:2010
Number of pages:str. 201-214
Numbering:Vol. 3, no. 2
ISSN:1855-3966
UDC:519.17:512.54
COBISS_ID:15870041 Link is opened in a new window
Views:2542
Downloads:59
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