{"?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-3EJG8DK5/312ae5b7-26d5-4975-b946-440fd2377ecc/PDF","dcterms:extent":"382 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-3EJG8DK5/9f436519-0cef-4140-91cd-59c283b915a6/TEXT","dcterms:extent":"35 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-3EJG8DK5","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2019","dc:creator":["Csajbók, Bence","Korchmáros, Gábor","Siciliano, Alessandro"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:16"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 609-623"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18821977","URN:URN:NBN:SI:doc-3EJG8DK5"],"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":"embedding"},{"@xml:lang":"en","#text":"finite Desarguesian plane"},{"@xml:lang":"sl","#text":"končna Desarguesova ravnina"},{"@xml:lang":"sl","#text":"unital"},{"@xml:lang":"sl","#text":"vložitev"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Embedding of orthogonal Buekenhout-Metz unitals in the Desarguesian plane of order qsup2|"},"dc:description":[{"@xml:lang":"sl","#text":"A unital, that is a ?$2-(q^3 + 1, q + 1, 1)$? block-design, is embedded in a projective plane ?$\\pi$? of order ?$q^2$? if its points are points of ?$\\pi$? and its blocks are subsets of lines of ?$\\pi$?, the point-block incidences being the same as in ?$\\pi$?. Regarding unitals ?$\\mathcal U$? which are isomorphic, as a block-design, to the classical unital, T. Szőnyi and the authors recently proved that the natural embedding is the unique embedding of ?$\\mathcal U$? into the Desarguesian plane of order ?$q^2$?. In this paper we extend this uniqueness result to all unitals which are isomorphic, as block-designs, to orthogonal Buekenhout-Metz unitals"},{"@xml:lang":"sl","#text":"Unital, to je ?$2-(q^3 + 1, q + 1, 1)$? bločni načrt, je vložen v projektivno ravnino ?$\\pi$? reda ?$q^2$?, če se njegove točke slikajo v točke projektivne ravnine ?$\\pi$?, njegovi bloki se slikajo v podmnožice premic projektivne ravnine ?$\\pi$?, incidence med točkami in bloki pa so iste kot v ?$\\pi$?. Za unitale ?$\\mathcal U$? ki so, kot bločni načrti, izomorfni klasičnim unitalom, so T. Szőnyi ter avtorji nedavno dokazali, da je naravna vložitev edina obstoječa vložitev ?$\\mathcal U$? v Desarguesovo ravnino reda ?$q^2$?. V tem članku razširimo ta enoličnostni rezultat na vse unitale, ki so, kot bločni načrti, izomorfni ortogonalnim Buekenhout-Metzovim unitalom"}],"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-3EJG8DK5","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-3EJG8DK5"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-3EJG8DK5/312ae5b7-26d5-4975-b946-440fd2377ecc/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-3EJG8DK5/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-3EJG8DK5"}}}}