{"?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-CI7SSF6S/c8b917fb-933c-4956-a98e-7d14f1b302fb/PDF","dcterms:extent":"356 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-CI7SSF6S/134db0f8-d152-4ff5-b83f-25a62c25425f/TEXT","dcterms:extent":"32 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-CI7SSF6S","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2017","dc:creator":["Hirasaka, Mitsugu","Sharafdini, Reza"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:12"},{"@xml:lang":"sl","#text":"str. 111-126"}],"dc:identifier":["COBISSID:18095449","ISSN:1855-3966","URN:URN:NBN:SI:doc-CI7SSF6S"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"sl","#text":"asociativne sheme"},{"@xml:lang":"sl","#text":"koherentne konfiguracije"},{"@xml:lang":"sl","#text":"praštevilski red"},{"@xml:lang":"sl","#text":"simetrični dizajn"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Coherent configurations over copies of association schemes of prime order|"},"dc:description":[{"@xml:lang":"sl","#text":"Let ?$G$? be a group acting faithfully and transitively on ?$\\Omega_i$? for ?$i = 1, 2$?. A famous theorem by Burnside implies the following fact: If ?$|\\Omega_1| = |\\Omega_2|$? is a prime and the rank of one of the actions is greater than two, then the actions are equivalent, or equivalently ?$|(\\alpha, \\beta)^G| = |\\Omega_1| = |\\Omega_2|$? for some ?$(\\alpha, \\beta) \\in \\Omega_1 \\times \\Omega_2$?. In this paper we consider a combinatorial analogue to this fact through the theory of coherent configurations, and give some arithmetic sufficient conditions for a coherent configuration with two homogeneous components of prime order to be uniquely determined by one of the homogeneous components"},{"@xml:lang":"sl","#text":"Naj bo ?$G$? grupa, ki deluje zvesto in tranzitivno na ?$\\Omega_i$? za ?$i = 1, 2$?. Iz slavnega Burnsidovega izreka sledi: če je ?$|\\Omega_1| = |\\Omega_2|$? praštevilo in če je rang enega od delovanj večji od dva, potem sta delovanji ekvivalentni, oziroma ?$|(\\alpha, \\beta)^G| = |\\Omega_1| = |\\Omega_2|$? za neka ?$(\\alpha, \\beta) \\in \\Omega_1 \\times \\Omega_2$?. V tem članku obravnavamo kombinatorični analogon temu dejstvu z uporabo teorije koherentnih konfiguracij in podamo nekaj aritmetičnih zadostnih pogojev za to, da je koherentna konfiguracija z dvema homogenima komponentama praštevilskega reda enolično določena z eno od svojih homogenih komponent"}],"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-CI7SSF6S","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-CI7SSF6S"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-CI7SSF6S/c8b917fb-933c-4956-a98e-7d14f1b302fb/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-CI7SSF6S/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-CI7SSF6S"}}}}