{"?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-365R89OJ/d3b7a3f2-90c9-4d9e-bbbb-06f74c941738/PDF","dcterms:extent":"388 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-365R89OJ/7809732b-1bd3-4366-8b4c-616fde4fb88f/TEXT","dcterms:extent":"20 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-365R89OJ/31d4ac8a-a8b7-45ed-a006-8bc16ffcea50/PDF","dcterms:extent":"239 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-365R89OJ/0ac5c785-7eb4-492a-ad2a-39c8b79493e7/TEXT","dcterms:extent":"3 KB"}],"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:DOC-365R89OJ","dcterms:issued":"2025","dc:creator":["Gatti, Barbara","Ghiandoni, Francesco","Korchmáros, Gábor"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1, article  p1.09"},{"@xml:lang":"sl","#text":"letnik:8"},{"@xml:lang":"sl","#text":"str. 1-8"}],"dc:identifier":["DOI:10.26493/2590-9770.1746.53c","ISSN:2590-9770","COBISSID_HOST:285597699","URN:URN:NBN:SI:doc-365R89OJ"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:source":{"@xml:lang":"sl","#text":"The art of discrete and applied mathematics"},"dc:subject":[{"@xml:lang":"en","#text":"automorphism group"},{"@xml:lang":"en","#text":"finite field"},{"@xml:lang":"en","#text":"function field"},{"@xml:lang":"sl","#text":"funkcijski obseg"},{"@xml:lang":"sl","#text":"grupa avtomorfizmov"},{"@xml:lang":"en","#text":"invariant"},{"@xml:lang":"sl","#text":"invarianta"},{"@xml:lang":"sl","#text":"končni obseg"}],"dc:title":{"@xml:lang":"sl","#text":"The invariant of PGU(3,q) in the Hermitian function field|"},"dc:description":[{"@xml:lang":"sl","#text":"Let F = F|K be a function field over an algebraically closed constant field K of positive characteristic p. For a K-automorphism group G of F, the invariant of G is the fixed field FG of G. If F has transendency degree 1 (i.e. F is the function field of an irreducible curve) and FG is rational, then each generator of FG uniquely determines FG and it makes sense to call each of them the invariant of G. In this paper, F is the Hermitian function field K(Hq)=K(x,y) with yq + y - xq + 1 = 0 and q = pr. We determine the invariant of Aut(K(Hq)) \\cong PGU(3,q), and discuss some related questions on Galois subcovers of maximal curves over finite fields"},{"@xml:lang":"sl","#text":"Naj bo F=F|K funkcijski obseg nad algebraično zaprtim konstantnim obsegom Kpozitivne karakteristike p. Če je G grupa K-avtomorfizmov obsega F, je invarianta grupe G fiksni obseg FG grupe G. Če ima obseg F transendenčno stopnjo 1 (tj. F je funkcijski obseg neke ireducibilne krivulje) in je obseg FG racionalen, potem ga vsak njegov generator enolično določa, zato ima smisel vsakega od teh generatorjev imenovati invarianta grupe G. V tem članku je F hermitski funkcijski obseg K(Hq) =K(x, y) zyq+y-xq+1= 0 in q=pr. Določimo invarianto grupe Aut (K(Hq))~=PGU(3, q) in obravnavamo nekatera sorodna vprašanja v zvezi z Galoisovimi podpokritji maksimalnih krivulj nad končnimi obsegi"}],"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-365R89OJ","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-365R89OJ"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-365R89OJ/d3b7a3f2-90c9-4d9e-bbbb-06f74c941738/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-365R89OJ/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-365R89OJ"}}}}