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

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Naslov:	Asymptotic automorphism groups of Cayley digraphs and graphs of abelian groups of prime-power order
Avtorji:	ID Dobson, Edward (Avtor)
Datoteke:	http://amc.imfm.si/index.php/amc/article/viewFile/120/116
Jezik:	Angleški jezik
Vrsta gradiva:	Delo ni kategorizirano
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	IAM - Inštitut Andrej Marušič
Opis:	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, $G_L \triangleleft {\rm Aut}(\Gamma))$ .
Ključne besede:	mathematics, graph theory, Cayley graph, abelian group, automorphism group, asymptotic, $p$ -group
Leto izida:	2010
Št. strani:	str. 201-214
Številčenje:	Vol. 3, no. 2
PID:	20.500.12556/RUP-2850
ISSN:	1855-3966
UDK:	519.17:512.54
COBISS.SI-ID:	15870041
Datum objave v RUP:	15.10.2013
Število ogledov:	5420
Število prenosov:	147
Metapodatki:
:	DOBSON, Edward, 2010, Asymptotic automorphism groups of Cayley digraphs and graphs of abelian groups of prime-power order. [na spletu]. 2010. Vol. 3, no. 2, p. 201–214. [Dostopano 6 april 2025]. Pridobljeno s: http://amc.imfm.si/index.php/amc/article/viewFile/120/116 Kopiraj citat