| Naslov: | Asymptotic automorphism groups of Cayley digraphs and graphs of abelian groups of prime-power order |
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| Avtorji: | ID Dobson, Edward (Avtor) |
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| Datoteke: |  http://amc.imfm.si/index.php/amc/article/viewFile/120/116
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Delo ni kategorizirano |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | IAM - Inštitut Andrej Marušič
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| 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, ▫$G_L \triangleleft {\rm Aut}(\Gamma))$▫. |
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| Ključne besede: | mathematics, graph theory, Cayley graph, abelian group, automorphism group, asymptotic, ▫$p$▫-group |
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| Leto izida: | 2010 |
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| Št. strani: | str. 201-214 |
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| Številčenje: | Vol. 3, no. 2 |
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| PID: | 20.500.12556/RUP-2850  |
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| ISSN: | 1855-3966 |
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| UDK: | 519.17:512.54 |
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| COBISS.SI-ID: | 15870041 |
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| Datum objave v RUP: | 15.10.2013 |
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| Število ogledov: | 5056 |
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| Število prenosov: | 142 |
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| Metapodatki: |    |
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