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

Kutnar, Klavdija; Marušič, Dragan

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Title:	Odd extensions of transitive groups via symmetric graphs - The cubic case
Authors:	ID Kutnar, Klavdija (Author) ID Marušič, Dragan (Author)
Files:	https://doi.org/10.1016/j.jctb.2018.10.003
Language:	English
Work type:	Unknown
Typology:	1.01 - Original Scientific Article
Organization:	IAM - Andrej Marušič Institute
Abstract:	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.
Keywords:	automorphism group, arc-transitive, even permutation, odd permutation, cubic symmetric graph
Year of publishing:	2018
Number of pages:	str. 1-23
PID:	20.500.12556/RUP-10001
UDC:	519.17
ISSN on article:	0095-8956
DOI:	10.1016/j.jctb.2018.10.003
COBISS.SI-ID:	1540797380
Publication date in RUP:	19.11.2018
Views:	2854
Downloads:	202
Metadata:
:	KUTNAR, Klavdija and MARUŠIČ, Dragan, 2018, Odd extensions of transitive groups via symmetric graphs - The cubic case. Journal of combinatorial theory [online]. 2018. P. 1–23. [Accessed 5 April 2025]. DOI 10.1016/j.jctb.2018.10.003. Retrieved from: https://doi.org/10.1016/j.jctb.2018.10.003 Copy citation

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Record is a part of a journal

Title:	Journal of combinatorial theory
Shortened title:	J. comb. theory, Ser. B
Publisher:	Academic Press
ISSN:	0095-8956
COBISS.SI-ID:	25721600

Secondary language

Language:	English
Keywords:	grupa avtomorfizmov, ločna tranzitivnost, soda permutacija, liha permutacija, kubični simetrični graf

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