{"?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-FIV6NG9P/1170dc36-60ec-4dab-8e75-cca96619c6df/PDF","dcterms:extent":"456 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-FIV6NG9P/d195188d-8c47-4de8-a87a-f4995355ffba/TEXT","dcterms:extent":"64 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-FIV6NG9P","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":"Zini, Giovanni","dc:format":[{"@xml:lang":"sl","#text":"letnik:16"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 377-401"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18768729","URN:URN:NBN:SI:doc-FIV6NG9P"],"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":"Möbius function"},{"@xml:lang":"sl","#text":"Möbiusova funkcija"},{"@xml:lang":"sl","#text":"mreža podgrup"},{"@xml:lang":"en","#text":"subgroup lattice"},{"@xml:lang":"sl","#text":"unitarne grupe"},{"@xml:lang":"en","#text":"unitary groups"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"The Möbius function of PSU(3, 2sup{2supn})|"},"dc:description":[{"@xml:lang":"sl","#text":"Let ?$G$? be the simple group ?$\\mathrm{PSU}(3, 2^{2^n}),\\ n > 0$?. For any subgroup ?$H$? of ?$G$?, we compute the Möbius function ?$\\mu_L(H, G)$? of ?$H$? in the subgroup lattice ?$L$? of ?$G$?, and the Möbius function ?$\\mu_{\\bar L}(H, G)$? of ?$H$? in the poset ?$\\bar L$? of conjugacy classes of subgroups of ?$G$?. For any prime ?$p$?, we provide the Euler characteristic of the order complex of the poset of non-trivial ?$p$?-subgroups of ?$G$?"},{"@xml:lang":"sl","#text":"Naj bo ?$G$? enostavna grupa ?$\\mathrm{PSU}(3, 2^{2^n}),\\ n > 0$?. Za poljubno podgrupo ?$H$? grupe ?$G$? izračunamo Möbiusovo funkcijo ?$\\mu_L(H, G)$? od ?$H$? v mreži podgrup ?$L$? grupe ?$G$? in Möbiusovo funkcijo ?$\\mu_{\\bar L}(H, G)$? odseka ?$H$? v delno urejeni množici ?$\\bar L$? odsekov podgrup grupe ?$G$?. Za poljubno praštevilo ?$p$? podamo Eulerjevo karakteristiko kompleksa urejenosti delno urejene množice netrivialnih ?$p$?-podgrup grupe ?$G$?"}],"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-FIV6NG9P","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-FIV6NG9P"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-FIV6NG9P/1170dc36-60ec-4dab-8e75-cca96619c6df/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-FIV6NG9P/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-FIV6NG9P"}}}}