{"?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-PJI7XMD9/658a5e86-6531-42c7-95a2-dd9e348721cc/PDF","dcterms:extent":"457 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-PJI7XMD9/43889cbc-872e-4b94-95e8-f1becec2641b/TEXT","dcterms:extent":"43 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-PJI7XMD9","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2022","dc:creator":["Dobson, Edward","Muzychuk, Mikhail","Spiga, Pablo"],"dc:format":[{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"letnik:22"},{"@xml:lang":"sl","#text":"P2.07 (18 str.)"}],"dc:identifier":["DOI:10.26493/1855-3974.2443.02e","COBISSID_HOST:116594947","ISSN:1855-3966","URN:URN:NBN:SI:doc-PJI7XMD9"],"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":"Cayley isomorphism"},{"@xml:lang":"sl","#text":"Cayleyjev izomorfizem"},{"@xml:lang":"en","#text":"CI-group"},{"@xml:lang":"sl","#text":"CI-grupa"},{"@xml:lang":"en","#text":"DCI-group"},{"@xml:lang":"sl","#text":"DCI-grupa"},{"@xml:lang":"en","#text":"generalised dihedral"},{"@xml:lang":"sl","#text":"posplošen diedrski"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Generalized dihedral CI-groups|"},"dc:description":[{"@xml:lang":"sl","#text":"In this paper, we find a strong new restriction on the structure of CI-groups. We show that, if ?$R$? is a generalised dihedral group and if ?$R$? is a CI-group, then for every odd prime ?$p$? the Sylow ?$p$?-subgroup of ?$R$? has order ?$p$?, or 9. Consequently, any CI-group with quotient a generalised dihedral group has the same restriction, that for every odd prime ?$p$? the Sylow ?$p$?-subgroup of the group has order ?$p$?, or 9"},{"@xml:lang":"sl","#text":"V članku poiščemo močne nove omejitve v zvezi s strukturo CI-grup. Pokažemo: če je ?$R$? posplošena diedrska grupa, in če je ?$R$? CI-grupa, potem za vsako liho praštevilo ?$p$? velja, da ima Sylowska ?$p$?-podgrupa grupe ?$R$? red ?$p$?, ali pa 9. Posledično ima vsaka CI-grupa, ki ima za kvocient neko posplošeno diedrsko grupo, isto omejitev: za vsako liho praštevilo ?$p$? velja, da ima Sylowska ?$p$?-podgrupa te grupe red ?$p$?, ali pa 9"}],"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-PJI7XMD9","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-PJI7XMD9"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-PJI7XMD9/658a5e86-6531-42c7-95a2-dd9e348721cc/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-PJI7XMD9/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-PJI7XMD9"}}}}