{"?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-4JXNBYSW/a484ea36-6c28-4989-b466-24f5422ce058/PDF","dcterms:extent":"275 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-4JXNBYSW/305db0ab-6126-4f36-a90e-51979400260d/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-4JXNBYSW","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":["Qu, Haipeng","Wang, Yan","Yuan, Kai"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:19"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 363-374"}],"dc:identifier":["ISSN:1855-3974","COBISSID_HOST:44984579","URN:URN:NBN:SI:doc-4JXNBYSW"],"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":"(orientabilno) regularen zemljevid"},{"@xml:lang":"en","#text":"(orientably) regular map"},{"@xml:lang":"en","#text":"automorphism group"},{"@xml:lang":"en","#text":"Frobenius group"},{"@xml:lang":"sl","#text":"Frobeniusova grupa"},{"@xml:lang":"sl","#text":"grupa avtomorfizmov"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Frobenius groups which are the automorphism groups of orientably-regular maps|"},"dc:description":[{"@xml:lang":"sl","#text":"In this paper, we prove that a Frobenius group (except for those which are dihedral groups) can only be the automorphism group of an orientably-regular chiral map. The necessary and sufficient conditions for a Frobenius group to be the automorphism group of an orientably-regular chiral map are given. Furthermore, these orientably-regular chiral maps with Frobenius automorphisms are proved to be normal Cayley maps. Frobenius groups conforming to these conditions are also constructed"},{"@xml:lang":"sl","#text":"V članku dokažemo, da je Frobeniusova grupa (z izjemo tistih, ki so diedrske grupe) lahko samo grupa avtomorfizmov orientabilno regularnega kiralnega zemljevida. Predstavimo potrebne in zadostne pogoje za to, da je Frobeniusova grupa grupa avtomorfizmov orientabilno regularnega kiralnega zemljevida. Nadalje, dokažemo, da so ti orientabilno regularni kiralni zemljevidi s Frobeniusovimi avtomorfizmi normalni Cayleyevi zemljevidi. Konstruiramo tudi Frobeniusove grupe, ki ustrezajo tem pogojem"}],"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-4JXNBYSW","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-4JXNBYSW"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-4JXNBYSW/a484ea36-6c28-4989-b466-24f5422ce058/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-4JXNBYSW/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-4JXNBYSW"}}}}