Odd extensions of transitive groups via symmetric graphs - The cubic case

Klavdija Kutnar (Avtor), Dragan Marušič (Avtor)

Povzetek

When dealing with symmetry properties of mathematical objects, one of the fundamental questions is to determine their full automorphism group. In this paper this question is considered in the context of even/odd permutations dichotomy. More precisely: when is it that the existence of automorphisms acting as even permutations on the vertex set of a graph, called even automorphisms, forces the existence of automorphisms that act as odd permutations, called odd automorphisms. As a first step towards resolving the above question, complete information on the existence of odd automorphisms in cubic symmetric graphs is given.

Ključne besede

grupa avtomorfizmov;ločna tranzitivnost;soda permutacija;liha permutacija;kubični simetrični graf;automorphism group;arc-transitive;even permutation;odd permutation;cubic symmetric graph;

Podatki

Jezik:	Angleški jezik
Leto izida:	2019
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UP - Univerza na Primorskem
UDK:	519.17
COBISS:	1540797380
ISSN:	0095-8956
Št. ogledov:	1918
Št. prenosov:	198
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
Sekundarne ključne besede:	grupa avtomorfizmov;ločna tranzitivnost;soda permutacija;liha permutacija;kubični simetrični graf;
Strani:	str. 170-192
Zvezek:	ǂVol. ǂ136
Čas izdaje:	2019
DOI:	10.1016/j.jctb.2018.10.003
ID:	10984856