Metacyclic groups as automorphism groups of compact Riemann surfaces

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dc.contributor.authorSchweizer, Andreasko
dc.date.accessioned2017-10-23T01:54:46Z-
dc.date.available2017-10-23T01:54:46Z-
dc.date.created2017-10-10-
dc.date.created2017-10-10-
dc.date.issued2017-10-
dc.identifier.citationGEOMETRIAE DEDICATA, v.190, no.1, pp.185 - 197-
dc.identifier.issn0046-5755-
dc.identifier.urihttp://hdl.handle.net/10203/226389-
dc.description.abstractLet X be a compact Riemann surface of genus , and let G be a subgroup of . We show that if the Sylow 2-subgroups of G are cyclic, then . If all Sylow subgroups of G are cyclic, then, with two exceptions, . More generally, if G is metacyclic, then, with one exception, . Each of these bounds is attained for infinitely many values of g.-
dc.languageEnglish-
dc.publisherSPRINGER-
dc.subjectODD ORDER-
dc.subjectGENUS-
dc.subjectNUMBER-
dc.titleMetacyclic groups as automorphism groups of compact Riemann surfaces-
dc.typeArticle-
dc.identifier.wosid000411556900010-
dc.identifier.scopusid2-s2.0-85016049093-
dc.type.rimsART-
dc.citation.volume190-
dc.citation.issue1-
dc.citation.beginningpage185-
dc.citation.endingpage197-
dc.citation.publicationnameGEOMETRIAE DEDICATA-
dc.identifier.doi10.1007/s10711-017-0239-8-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorCompact Riemann surface-
dc.subject.keywordAuthorAutomorphism group-
dc.subject.keywordAuthorMetacyclic group-
dc.subject.keywordAuthorZ-group-
dc.subject.keywordAuthorCyclic Sylow subgroup-
dc.subject.keywordAuthorGroup of square-free order-
dc.subject.keywordAuthorExponent-
dc.subject.keywordPlusODD ORDER-
dc.subject.keywordPlusGENUS-
dc.subject.keywordPlusNUMBER-
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