Naslov: | Odd extensions of transitive groups via symmetric graphs - The cubic case |
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Avtorji: | ID Kutnar, Klavdija (Avtor) ID Marušič, Dragan (Avtor) |
Datoteke: | https://doi.org/10.1016/j.jctb.2018.10.003
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Jezik: | Angleški jezik |
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Vrsta gradiva: | Neznano |
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Tipologija: | 1.01 - Izvirni znanstveni članek |
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Organizacija: | IAM - Inštitut Andrej Marušič
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Opis: | 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. |
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Ključne besede: | automorphism group, arc-transitive, even permutation, odd permutation, cubic symmetric graph |
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Leto izida: | 2018 |
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Št. strani: | str. 1-23 |
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PID: | 20.500.12556/RUP-10001 |
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UDK: | 519.17 |
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ISSN pri članku: | 0095-8956 |
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DOI: | 10.1016/j.jctb.2018.10.003 |
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COBISS.SI-ID: | 1540797380 |
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Datum objave v RUP: | 18.11.2018 |
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Število ogledov: | 2507 |
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Število prenosov: | 200 |
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