{"?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-DJW3N6OI/3f2d554a-0176-4e58-83b0-c0df40c9b2b5/PDF","dcterms:extent":"329 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-DJW3N6OI/a30858dd-d05c-4326-bbd1-fddfdba63f0d/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-DJW3N6OI","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":["Buratti, Marco","Rinaldi, Gloria","Traetta, Tommaso"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:13"},{"@xml:lang":"sl","#text":"str. 95-106"}],"dc:identifier":["COBISSID:18174809","ISSN:1855-3966","URN:URN:NBN:SI:doc-DJW3N6OI"],"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":"delovanje grupe"},{"@xml:lang":"sl","#text":"diferenčna družina"},{"@xml:lang":"sl","#text":"Langfordovo zaporedje"},{"@xml:lang":"sl","#text":"Skolemovo zaporedje"},{"@xml:lang":"sl","#text":"Steinerjev sistem trojic"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"3-pyramidal Steiner triple systems|"},"dc:description":[{"@xml:lang":"sl","#text":"A design is said to be ?$f$?-pyramidal when it has an automorphism group which fixes ?$f$? points and acts sharply transitively on all the others. The problem of establishing the set of values of ?$v$? for which there exists an ?$f$?-pyramidal Steiner triple system of order ?$v$? has been deeply investigated in the case ?$f=1$? but it remains open for a special class of values of ?$v$?. The same problem for the next possible ?$f$?, which is ?$f=3$?, is here completely solved: there exists a 3-pyramidal Steiner triple system of order ?$v$? if and only if ?$v \\equiv 7, 9, 15 \\pmod{24}$? or ?$v \\equiv 3, 19 \\pmod{48}$?"},{"@xml:lang":"sl","#text":"Načrt se imenuje ?$f$?-piramidalen, če ima grupo avtomorfizmov, ki fiksira ?$f$? točk in deluje ostro tranzitivno na vseh drugih. Problem določitve množice vrednosti ?$v$?, za katere obstaja ?$f$?-piramidalen Steinerjev sistem trojic reda ?$v$?, je bil poglobljeno raziskan v primeru ?$f=1$?, ostaja pa odprt za poseben razred vrednosti ?$v$?. Isti problem za naslednji možni ?$f$?, tj. ?$f=3$?, je tu popolnoma rešen: 3-piramidalni Steinerjev sistem trojic reda ?$v$? obstaja natanko tedaj ko je ?$v \\equiv 7, 9, 15 \\pmod{24}$? ali ?$v \\equiv 3, 19 \\pmod{48}$?"}],"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-DJW3N6OI","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-DJW3N6OI"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-DJW3N6OI/3f2d554a-0176-4e58-83b0-c0df40c9b2b5/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-DJW3N6OI/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-DJW3N6OI"}}}}