{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-W7852IQJ/85c2bc03-242b-480f-b8bb-935f6c0dea1d/PDF","dcterms:extent":"444 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-W7852IQJ/f3c124e6-eb4a-4b3e-8c60-99c3ab82ce3b/TEXT","dcterms:extent":"54 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2025","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2025"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-W7852IQJ","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2021","dc:creator":"Skresanov, Saveliy V.","dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:21"},{"@xml:lang":"sl","#text":"str. 105-124"}],"dc:identifier":["DOI:10.26493/1855-3974.2450.1dc","COBISSID_HOST:111656451","ISSN:1855-3966","URN:URN:NBN:SI:doc-W7852IQJ"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"en","#text":"2-closure"},{"@xml:lang":"sl","#text":"2-zaprtje"},{"@xml:lang":"sl","#text":"graf ranga 3"},{"@xml:lang":"sl","#text":"grupa ranga 3"},{"@xml:lang":"sl","#text":"permutacijska grupa"},{"@xml:lang":"en","#text":"permutation group"},{"@xml:lang":"en","#text":"rank 3 graph"},{"@xml:lang":"en","#text":"rank 3 group"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"On 2-closures of rank 3 groups|"},"dc:description":[{"@xml:lang":"sl","#text":"A permutation group ?$G$? on ?$\\Omega$? is called a rank 3 group if it has precisely three orbits in its induced action on ?$\\Omega \\times \\Omega$?. The largest permutation group on ?$\\Omega$? having the same orbits as ?$G$? on ?$\\Omega \\times \\Omega$? is called the 2-closure of ?$G$? A description of 2-closures of rank 3 groups is given. As a special case, it is proved that the 2-closure of a primitive one-dimensional affine rank 3 group of sufficiently large degree is also affine and one-dimensional"},{"@xml:lang":"sl","#text":"Permutacijska grupa ?$G$? na ?$\\Omega$? se imenuje grupa ranga 3, če ima njeno inducirano delovanje na ?$\\Omega \\times \\Omega$? natančno tri orbite. Največja permutacijska grupa na, ki ima iste orbite kot ?$G$? na ?$\\Omega \\times \\Omega$?, se imenuje 2-zaprtje grupe ?$G$. Predstavimo opis 2-zaprtij gr?up ranga 3. Kot poseben primer dokažemo, da je 2-zaprtje primitivne enodimenzionalne afine grupe ranga 3 dovolj velikega reda prav tako afino in enodimenzionalno"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:doc-W7852IQJ","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-W7852IQJ"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-W7852IQJ/85c2bc03-242b-480f-b8bb-935f6c0dea1d/PDF"},"edm:rights":{"@rdf:resource":"http://creativecommons.org/licenses/by/4.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-W7852IQJ/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-W7852IQJ"}}}}