{"?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-3TV3CS1Q/4c584530-c3c4-4ce2-a2ec-6c780cd22cc5/PDF","dcterms:extent":"348 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-3TV3CS1Q/6b6649c9-7173-417c-adc2-a3844595e687/TEXT","dcterms:extent":"21 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-3TV3CS1Q/c878adde-66e0-4954-b628-b71b5b5c1c5a/PDF","dcterms:extent":"128 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-3TV3CS1Q/d421d182-9a8d-425b-a99b-e9bf7c0339ad/TEXT","dcterms:extent":"3 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-3TV3CS1Q","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2023","dc:creator":["Wang, Yan","Yuan, Kai"],"dc:format":[{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"letnik:23"},{"@xml:lang":"sl","#text":"P2.03 (8 str.)"}],"dc:identifier":["DOI:10.26493/1855-3974.2415.fd1","COBISSID_HOST:150269955","ISSN:1855-3966","URN:URN:NBN:SI:doc-3TV3CS1Q"],"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":"Frobenius group"},{"@xml:lang":"en","#text":"Frobenius hypermap"},{"@xml:lang":"sl","#text":"Frobeniusov hiperzemljevid"},{"@xml:lang":"sl","#text":"Frobeniusova grupa"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Classification of minimal Frobenius hypermaps|"},"dc:description":[{"@xml:lang":"sl","#text":"In this paper, we give a classification of orientably regular hypermaps with an automorphism group that is a minimal Frobenius group. A Frobenius group ?$G$? is called minimal if it has no nontrivial normal subgroup ?$N$? such that ?$G/N$? is a Frobenius group. An orientably regular hypermap ?$\\mathcal{H}$? is called a Frobenius hypermap if ?$\\mathrm{Aut} (\\mathcal{H})$? acting on the hyperfaces is a Frobenius group. A minimal Frobenius hypermap is a Frobenius hypermap whose automorphism group is a minimal Frobenius group with cyclic point stabilizers. Every Frobenius hypermap covers a minimal Frobenius hypermap. The main theorem of this paper generalizes the main result of A. B. D'Azevedo and M. E. Fernandes Eur. J. Comb. 32, No. 2, 233242 (2011)"},{"@xml:lang":"sl","#text":"V članku podamo klasifikacijo orientabilno regularnih hiperzemljevidov, za katere velja, da je njihova grupa avtomorfizmov minimalna Frobeniusova grupa. Frobeniusova grupa ?$G$? se imenuje minimalna, če nima nobene netrivialne edinke ?$N$?, za katero bi bila ?$G/N$? Frobeniusova grupa. Orientabilno regularen hiperzemljevid ?$\\mathcal{H}$? se imenuje Frobeniusov hiperzemljevid, če je grupa ?$\\mathrm{Aut} (\\mathcal{H})$?, delujoča na hiperlicih, Frobeniusova grupa. Minimalen Frobeniusov hiperzemljevid je Frobeniusov hiperzemljevid, katerega grupa avtomorfizmov je minimalna Frobeniusova grupa s cikličnimi stabilizatorji točk. Vsak Frobeniusov hiperzemljevid je krov nad minimalnim Frobeniusovim hiperzemljevidom. Glavni izrek tega članka posplošuje glavni izrek Breda D’Azevede in Fernandesa iz leta 2011"}],"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-3TV3CS1Q","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-3TV3CS1Q"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-3TV3CS1Q/4c584530-c3c4-4ce2-a2ec-6c780cd22cc5/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-3TV3CS1Q/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-3TV3CS1Q"}}}}