Asymptotic automorphism groups of Cayley digraphs and graphs of abelian groups of prime-power order

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Title:	Asymptotic automorphism groups of Cayley digraphs and graphs of abelian groups of prime-power order
Authors:	ID Dobson, Edward (Author)
Files:	http://amc.imfm.si/index.php/amc/article/viewFile/120/116
Language:	English
Work type:	Not categorized
Typology:	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
PID:	20.500.12556/RUP-2850
ISSN:	1855-3966
UDC:	519.17:512.54
COBISS.SI-ID:	15870041
Publication date in RUP:	15.10.2013
Views:	5441
Downloads:	147
Metadata:
:	DOBSON, Edward, 2010, Asymptotic automorphism groups of Cayley digraphs and graphs of abelian groups of prime-power order. [online]. 2010. Vol. 3, no. 2, p. 201–214. [Accessed 11 April 2025]. Retrieved from: http://amc.imfm.si/index.php/amc/article/viewFile/120/116 Copy citation

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