{"?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-J9HXIOUG/5c3003f6-44dc-4d66-99ac-6714411a307f/PDF","dcterms:extent":"388 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-J9HXIOUG/b54364ee-847b-43e7-8cbf-f081b00a05ac/TEXT","dcterms:extent":"47 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-J9HXIOUG","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2016","dc:creator":"Jones, Gareth A.","dc:format":[{"@xml:lang":"sl","#text":"letnik:10"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 237-254"}],"dc:identifier":["COBISSID:17831513","ISSN:1855-3966","URN:URN:NBN:SI:doc-J9HXIOUG"],"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":"category"},{"@xml:lang":"en","#text":"covering space"},{"@xml:lang":"sl","#text":"kategorija"},{"@xml:lang":"sl","#text":"krovni prostor"},{"@xml:lang":"sl","#text":"permutacijska grupa"},{"@xml:lang":"en","#text":"permutation group"},{"@xml:lang":"en","#text":"regular hypermap"},{"@xml:lang":"en","#text":"regular map"},{"@xml:lang":"sl","#text":"regularni hiperzemljevid"},{"@xml:lang":"sl","#text":"regularni zemljevid"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Combinatorial categories and permutation groups|"},"dc:description":[{"@xml:lang":"sl","#text":"The regular objects in various categories, such as maps, hypermaps or covering spaces, can be identified with the normal subgroups ?$N$? of a given group ?$\\Gamma$? , with automorphism group isomorphic to ?$\\Gamma / N$?. It is shown how to enumerate such objects with a given finite automorphism group ?$G$?, how to represent them all as quotients of a single regular object ?$\\mathcal{U}(G)$?, and how the outer automorphism group of ?$\\Gamma$? acts on them. Examples constructed include kaleidoscopic maps with trinity symmetry"},{"@xml:lang":"sl","#text":"Regularne objekte v različnih kategorijah, kot so zemljevidi, hiperzemljevidi ali krovni prostori, lahko identificiramo z edinkami ?$N$? dane grupe ?$\\Gamma$? , ki imajo grupo avtomorfizmov izomorfno ?$\\Gamma / N$?. Pokažemo, kako prešteti takšne objekte z dano končno grupo avtomorfizmov ?$G$?, kako jih vse predstaviti kot kvociente enega samega regularnega objekta ?$\\mathcal{U}(G)$?, in kako grupa zunanjih avtomorfizmov grupe ?$\\Gamma$? deluje na njih. Konstruirani primeri vsebujejo kaleidoskopske zemljevide s trojno simetrijo"}],"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-J9HXIOUG","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-J9HXIOUG"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-J9HXIOUG/5c3003f6-44dc-4d66-99ac-6714411a307f/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-J9HXIOUG/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-J9HXIOUG"}}}}