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Title:Odd extensions of transitive groups via symmetric graphs - The cubic case
Authors:Kutnar, Klavdija (Author)
Marušič, Dragan (Author)
Files:URL https://doi.org/10.1016/j.jctb.2018.10.003
 
Language:English
Work type:Unknown
Tipology: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
UDC:519.17
ISSN on article:0095-8956
COBISS_ID:1540797380 Link is opened in a new window
DOI:10.1016/j.jctb.2018.10.003 Link is opened in a new window
Views:334
Downloads:83
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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 This link opens in a new window

Secondary language

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

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