{"?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-AC49Q498/FCDF6CDB-0BAB-4FD4-ADFD-5932B04ADE6B/PDF","dcterms:extent":"0 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-AC49Q498/22ef378c-48e8-4055-a183-4491c6925101/PDF","dcterms:extent":"255 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-AC49Q498/36217ed3-3d90-4a2d-8fe7-c3d339ec8e23/TEXT","dcterms:extent":"28 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-AC49Q498","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2012","dc:creator":["Hartley, Michael Ian","Hubard, Isabel","Leemans, Dimitri"],"dc:format":[{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"letnik:5"},{"@xml:lang":"sl","#text":"str. 371-382"}],"dc:identifier":["COBISSID:16438873","ISSN:1855-3966","URN:URN:NBN:SI:doc-AC49Q498"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Društvo matematikov, fizikov in astronomov Slovenije"},"dc:subject":[{"@xml:lang":"en","#text":"abstract chiral polytopes"},{"@xml:lang":"en","#text":"almost simple groups"},{"@xml:lang":"sl","#text":"enostavne grupe"},{"@xml:lang":"en","#text":"geometric group theory"},{"@xml:lang":"sl","#text":"politopi"},{"@xml:lang":"sl","#text":"simetrija"},{"@xml:lang":"sl","#text":"teorija grup"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Two atlases of abstract chiral polytopes for small groups|"},"dc:description":{"@xml:lang":"sl","#text":"We construct chiral abstract polytopes in two different ways. Firstly we seek them as quotients of regular polytopes arising from the Atlas of Small Regular Polytopes (?http://www.abstract-polytopes.com/atlas/?); the resulting atlas of chiral polytopes atlas is available on the website ?http://www.abstract-polytopes.com/chiral/?. Secondly, for each almost simple group ?$\\Gamma$? such that ?$S \\le \\Gamma \\le \\text{Aut}(S)$? where ?$S$? is a simple group and ?$\\Gamma$? is a group of order less than 900,000 listed in the Atlas of Finite Groups, we give, up to isomorphism, the number of abstract chiral polytopes on which ?$\\Gamma$? acts regularly. The results have been obtained using a series of ?\\textsc{Magma}? programs. All these polytopes are made available on the third author's website, at ?http://math.auckland.ac.nz/~dleemans/CHIRAL/?"},"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-AC49Q498","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-AC49Q498"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-AC49Q498/FCDF6CDB-0BAB-4FD4-ADFD-5932B04ADE6B/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-AC49Q498/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-AC49Q498"}}}}