| Naslov: | Normal covers of 2-arc-transitive graphs of prime-power order |
|---|
| Avtorji: | ID Conder, Marston D. E. (Avtor)
ID Potočnik, Primož (Avtor) |
|---|
| Datoteke: |  PDF - Predstavitvena datoteka, prenos (918,24 KB)
MD5: 50DEC5E09001925DA72B83A09E70AEE9
 URL - Izvorni URL, za dostop obiščite https://alco.centre-mersenne.org/articles/10.5802/alco.415/
|
|---|
| Jezik: | Angleški jezik |
|---|
| Tipologija: | 1.01 - Izvirni znanstveni članek |
|---|
| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
|
|---|
| Povzetek: | In a paper by Cai Heng Li in Bull. London Math. Soc. 33 (2001), it was suggested that ‘non-basic’ $2$-arc-transitive graphs of prime-power order that occur as normal covers of smaller $2$-arc-transitive graphs might be rare and difficult to construct. This note describes some of the background to Li’s suggestion, and gives some examples of small valency, and then goes on to show that in fact there are infinitely many examples of valency $d$, for every integer $d \ge 2$. It is also noted that the hypercubes $(Q_n)$ for $n \ge 4$ even, together with a $2$-arc-transitive group $G$ of index $2$ in ${\rm Aut}(Q_n)$, show that the claims of Corollary 1.2 in the above paper by Li are not quite correct. |
|---|
| Ključne besede: | graphs, s-arc-transitive, normal cover |
|---|
| Status publikacije: | Objavljeno |
|---|
| Verzija publikacije: | Objavljena publikacija |
|---|
| Datum objave: | 01.01.2025 |
|---|
| Leto izida: | 2025 |
|---|
| Št. strani: | str. 469-478 |
|---|
| Številčenje: | Vol. 8, iss. 2 |
|---|
| PID: | 20.500.12556/DiRROS-22864  |
|---|
| UDK: | 519.17 |
|---|
| ISSN pri članku: | 2589-5486 |
|---|
| DOI: | 10.5802/alco.415 |
|---|
| COBISS.SI-ID: | 241575683 |
|---|
| Opomba: |
|
|---|
| Datum objave v DiRROS: | 07.07.2025 |
|---|
| Število ogledov: | 320 |
|---|
| Število prenosov: | 194 |
|---|
| Metapodatki: |    |
|---|
|
:
|
Kopiraj citat |
|---|
| | | | Objavi na: |  |
|---|
Postavite miškin kazalec na naslov za izpis povzetka. Klik na naslov izpiše
podrobnosti ali sproži prenos. |
