{"?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-93TQIRET/3476b803-4d69-48ba-987e-3c12400e87f8/PDF","dcterms:extent":"413 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-93TQIRET/6fbba559-69f2-46e4-a6e0-e8b12f2cb102/TEXT","dcterms:extent":"48 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-93TQIRET","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2020","dc:creator":"Ryabov, Grigory","dc:format":[{"@xml:lang":"sl","#text":"letnik:19"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 277-295"}],"dc:identifier":["ISSN:1855-3974","COBISSID_HOST:44424707","URN:URN:NBN:SI:doc-93TQIRET"],"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":"DCI-groups"},{"@xml:lang":"sl","#text":"DCI-grupa"},{"@xml:lang":"en","#text":"isomorphisms"},{"@xml:lang":"sl","#text":"izomorfizmi"},{"@xml:lang":"en","#text":"Schur rings"},{"@xml:lang":"sl","#text":"Schurovi kolobarji"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"The Cayley isomorphism property for the group Csub2sup5timesCsubp|"},"dc:description":[{"@xml:lang":"sl","#text":"A finite group ?$G$? is called a DCI-group if two Cayley digraphs over ?$G$? are isomorphic if and only if their connection sets are conjugate by a group automorphism. We prove that the group ?$C_2^5 \\times C_p$?, where ?$p$? is a prime, is a DCI-group if and only if ?$p \\ne 2$?. Together with the previously obtained results, this implies that a group ?$G$? of order ?$32p$?, where ?$p$? is a prime, is a DCI-group if and only if ?$p \\ne 2$? and ?$G \\cong C_2^5 \\times C_p$?"},{"@xml:lang":"sl","#text":"Končno grupo ?$G$? imenujemo DCI-grupa, če sta poljubna Cayleyjeva digrafa nad ?$G$? izomorfna če in samo če sta njuni povezovalni množici konjugirani glede na kakšen avtomorfizem grupe. Dokažemo, da je grupa ?$C_2^5 \\times C_p$? za praštevilo ?$p$? DCI-grupa če in samo če je ?$p \\ne 2$?. Skupaj s prej dobljenimi rezultati izhaja, da je poljubna grupa ?$G$? reda ?$32p$?, kjer je ?$p$? praštevilo, DCI-grupa če in samo če je ?$p \\ne 2$? in je ?$G \\cong C_2^5 \\times C_p$?"}],"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-93TQIRET","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-93TQIRET"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-93TQIRET/3476b803-4d69-48ba-987e-3c12400e87f8/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-93TQIRET/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-93TQIRET"}}}}