{"?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-N4X7HKIK/07593BA6-9DA1-4883-9913-5935DEB092D5/PDF","dcterms:extent":"0 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-N4X7HKIK/85e68b60-4a21-44e8-a95d-176cfe404489/PDF","dcterms:extent":"365 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-N4X7HKIK/af6c043e-00e4-403f-813e-13cf5b2a0320/TEXT","dcterms:extent":"58 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-N4X7HKIK","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2011","dc:creator":["Conder, Marston D. E.","Tucker, Thomas W."],"dc:format":[{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"letnik:4"},{"@xml:lang":"sl","#text":"str. 271-289"}],"dc:identifier":["COBISSID:16267609","ISSN:1855-3966","URN:URN:NBN:SI:doc-N4X7HKIK"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Društvo matematikov, fizikov in astronomov Slovenije"},"dc:subject":[{"@xml:lang":"en","#text":"group theory"},{"@xml:lang":"en","#text":"NEC group"},{"@xml:lang":"en","#text":"Riemann surface"},{"@xml:lang":"en","#text":"Riemann-Hurwitz equation"},{"@xml:lang":"sl","#text":"Riemann-Hurwitzova enačba"},{"@xml:lang":"sl","#text":"Riemannova ploskev"},{"@xml:lang":"sl","#text":"signatura"},{"@xml:lang":"en","#text":"signature"},{"@xml:lang":"sl","#text":"simetrični rod"},{"@xml:lang":"en","#text":"symmetric genus"},{"@xml:lang":"sl","#text":"teorija grup"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"The symmetric genus spectrum of finite groups|"},"dc:description":{"@xml:lang":"sl","#text":"The symmetric genus of the finite group ?$G$?, denoted by ?$\\sigma(G)$?, is the smallest non-negative integer ?$g$? such that the group ?$G$? acts faithfully on a closed orientable surface of genus ?$g$? (not necessarily preserving orientation). This paper investigates the question of whether for every non-negative integer ?$g$?, there exists some ?$G$? with symmetric genus ?$g$?. It is shown that that the spectrum (range of values) of ?$\\sigma$? includes every non-negative integer ?$g \\not\\equiv 8$? or ?$14 \\bmod 18$?, and moreover, if a gap occurs at some ?$g \\equiv 8$? or ?$14 \\bmod 18$?, then the prime-power factorization of ?$g - 1$? includes some factor ?$p^e \\equiv 5 \\mod 6$?. In fact, evidence suggests that this spectrum has no gaps at all"},"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-N4X7HKIK","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-N4X7HKIK"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-N4X7HKIK/07593BA6-9DA1-4883-9913-5935DEB092D5/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-N4X7HKIK/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-N4X7HKIK"}}}}