| 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: | 5063 |
|---|
| Število prenosov: | 142 |
|---|
| Metapodatki: |    |
|---|
|
:
|
Kopiraj citat |
|---|
| | | | Skupna ocena: | (0 glasov) |
|---|
| Vaša ocena: | Ocenjevanje je dovoljeno samo prijavljenim uporabnikom. |
|---|
| Objavi na: |  |
|---|
Postavite miškin kazalec na naslov za izpis povzetka. Klik na naslov izpiše
podrobnosti ali sproži prenos. |
