Normal covers of 2-arc-transitive graphs of prime-power order

Conder, Marston D. E. (avtor), Potočnik, Primož (avtor)

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.

• Jezik: Angleški jezik
• Ključne besede: graphs, s-arc-transitive, normal cover
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica 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/RUL-170481
• UDK: 519.17
• ISSN pri članku: 2589-5486
• DOI: 10.5802/alco.415
• COBISS.SI-ID: 241575683
• Datum objave v RUL: 07.07.2025

Gradivo je del revije

• Naslov: Algebraic combinatorics
• Založnik: MathOA
• ISSN: 2589-5486
• COBISS.SI-ID: 1540134596

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.