Odd extensions of transitive groups via symmetric graphs - The cubic case
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.
2018
2018-11-19 08:37:29
1033
automorphism group, arc-transitive, even permutation, odd permutation, cubic symmetric graph
grupa avtomorfizmov, ločna tranzitivnost, soda permutacija, liha permutacija, kubični simetrični graf
Klavdija
Kutnar
70
Dragan
Marušič
70
UDK
4
519.17
ISSN pri članku
9
0095-8956
OceCobissID
13
25721600
COBISS_ID
3
1540797380
DOI
15
10.1016/j.jctb.2018.10.003
0
Predstavitvena datoteka
2018-11-19 08:37:32