20.500.12556/RUP-10001
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.
automorphism group
arc-transitive
even permutation
odd permutation
cubic symmetric graph
grupa avtomorfizmov
ločna tranzitivnost
soda permutacija
liha permutacija
kubični simetrični graf
true
true
false
Angleški jezik
Angleški jezik
Neznano
2018-11-19 08:37:29
2018-11-19 08:37:30
2024-03-01 13:50:34
0000-00-00 00:00:00
2018
0
0
str. 1-23
2018
0000-00-00
NiDoloceno
NiDoloceno
NiDoloceno
0000-00-00
0000-00-00
0000-00-00
519.17
0095-8956
25721600
10.1016/j.jctb.2018.10.003
1540797380
https://doi.org/10.1016/j.jctb.2018.10.003
1
https://repozitorij.upr.si/Dokument.php?lang=slv&id=15757
Inštitut Andrej Marušič
0
0
0