{"?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-P0WDQFOG/0264de31-3e90-4ed4-be71-65603bc2360b/PDF","dcterms:extent":"318 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-P0WDQFOG/24cc22c4-2478-4568-bf8d-cdd8a6db5f23/TEXT","dcterms:extent":"25 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-P0WDQFOG","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":["May, Coy L.","Zimmerman, Jay"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:17"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 627-636"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18976345","URN:URN:NBN:SI:doc-P0WDQFOG"],"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":"abelian groups"},{"@xml:lang":"sl","#text":"abelove grupe"},{"@xml:lang":"en","#text":"density"},{"@xml:lang":"en","#text":"genus spectrum"},{"@xml:lang":"sl","#text":"gostota"},{"@xml:lang":"sl","#text":"krepki simetrični rod"},{"@xml:lang":"en","#text":"Riemann surface"},{"@xml:lang":"sl","#text":"Riemannova ploskev"},{"@xml:lang":"sl","#text":"simetrični rod"},{"@xml:lang":"sl","#text":"spekter rodu"},{"@xml:lang":"en","#text":"strong symmetric genus"},{"@xml:lang":"en","#text":"symmetric genus"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"The symmetric genus spectrum of abelian groups|"},"dc:description":[{"@xml:lang":"sl","#text":"Let ?$\\mathcal{S}$? denote the set of positive integers that appear as the symmetric genus of a finite abelian group and let ?$\\mathcal{S}_0$? denote the set of positive integers that appear as the strong symmetric genus of a finite abelian group. The main theorem of this paper is that ?$\\mathcal{S} = \\mathcal{S}_0$?. As a result, we obtain a set of necessary and sufficient conditions for an integer ?$g$? to belong to ?$\\mathcal{S}$?. This also shows that ?$\\mathcal{S}$? has an asymptotic density and that it is approximately 0.3284"},{"@xml:lang":"sl","#text":"Naj ?$\\mathcal{S}$? označuje množico pozitivnih celih števil, ki se pojavijo kot simetrični rod kake končne abelove grupe in naj ?$\\mathcal{S}_0$? označuje množico pozitivnih celih števil, ki se pojavijo kot krepki simetrični rod kake končne abelove grupe. Glavni izrek tega članka je, da je ?$\\mathcal{S} = \\mathcal{S}_0$?. Kot posledico dobimo množico potrebnih in zadostnih pogojev za to, da celo število ?$g$? pripada ?$\\mathcal{S}$?. Izkaže se, da ima ?$\\mathcal{S}$? asimptotično gostoto in da je ta približno 0.3284"}],"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-P0WDQFOG","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-P0WDQFOG"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-P0WDQFOG/0264de31-3e90-4ed4-be71-65603bc2360b/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-P0WDQFOG/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-P0WDQFOG"}}}}