{"?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-G28RUCL2/a4d78e94-ffed-4da5-98ad-e242a5603796/PDF","dcterms:extent":"287 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-G28RUCL2/663ace00-684b-480b-a6d4-fda6e2d6ee17/TEXT","dcterms:extent":"23 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-G28RUCL2","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2017","dc:creator":"Marušič, Dragan","dc:format":[{"@xml:lang":"sl","#text":"letnik:13"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 461-468"}],"dc:identifier":["COBISSID:1539752900","ISSN:1855-3966","URN:URN:NBN:SI:doc-G28RUCL2"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"sl","#text":"avtomorfizem brez negibnih točk"},{"@xml:lang":"sl","#text":"policirkulantna domneva"},{"@xml:lang":"sl","#text":"polregularni avtomorfizem"},{"@xml:lang":"sl","#text":"rešljiva grupa"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Semiregular automorphisms in vertex-transitive graphs with a solvable group of automorphisms|"},"dc:description":[{"@xml:lang":"sl","#text":"It has been conjectured that automorphism groups of vertex-transitive (di)graphs, and more generally 2-closures of transitive permutation groups, must necessarily possess a fixed-point-free element of prime order, and thus a non-identity element with all orbits of the same length, in other words, a semiregular element. The known affirmative answers for graphs with primitive and quasiprimitive groups of automorphisms suggest that solvable groups need to be considered if one is to hope for a complete solution of this conjecture. It is the purpose of this paper to present an overview of known results and suggest possible further lines of research towards a complete solution of the problem"},{"@xml:lang":"sl","#text":"Domneva se, da grupa avtomorfizmov točkovno tranzitivnih (di)grafov, in splošneje 2-zaprtje tranzitivnih permutacijskih grup, vsebuje element brez negibnih točk, katerega red je praštevilo, in torej premore od identitete različen element, katerega orbite imajo vse enako dolžino, ali, kot takemu elementu pravimo, polregularen element. Znane potrditve te domneve za grafe s primitivnimi in kvaziprimitivnimi grupami avtomorfizmov dajejo slutiti, da je ključ do popolne rešitve tega problema treba iskati v rešljivih grupah. Namen tega članka je predstaviti pregled znanih rezultatov in predlagati možne nadaljnje smeri raziskav, ki utegnejo voditi k popolni rešitvi problema"}],"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-G28RUCL2","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-G28RUCL2"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-G28RUCL2/a4d78e94-ffed-4da5-98ad-e242a5603796/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-G28RUCL2/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-G28RUCL2"}}}}