Genuine non-congruence subgroups of Drinfeld modular groups

Cited 0 time in webofscience Cited 0 time in scopus
  • Hit : 344
  • Download : 0
DC FieldValueLanguage
dc.contributor.authorMason, A. W.ko
dc.contributor.authorSchweizer, Andreasko
dc.date.accessioned2016-07-07T06:58:20Z-
dc.date.available2016-07-07T06:58:20Z-
dc.date.created2016-07-04-
dc.date.created2016-07-04-
dc.date.issued2016-10-
dc.identifier.citationJOURNAL OF PURE AND APPLIED ALGEBRA, v.220, no.10, pp.3345 - 3362-
dc.identifier.issn0022-4049-
dc.identifier.urihttp://hdl.handle.net/10203/210153-
dc.description.abstractLet A be the ring of elements in an algebraic function field K over a finite field F-q which are integral outside a fixed place infinity. In an earlier paper we have shown that the Drinfeld modular group G = GL(2)(A) has automorphisms which map congruence subgroups to non-congruence subgroups. Here we prove the existence of (uncountably many) normal genuine non-congruence subgroups, defined to be those which remain non-congruence under the action of every automorphism of G. In addition, for all but finitely many cases we evaluate ngncs(G), the smallest index of a normal genuine non-congruence subgroup of G, and compare it to the minimal index of an arbitrary normal non-congruence subgroup. (C) 2016 Elsevier B.V. All rights reserved-
dc.languageEnglish-
dc.publisherELSEVIER SCIENCE BV-
dc.subjectARITHMETIC DOMAIN-
dc.subjectDEDEKIND DOMAINS-
dc.subjectFUNCTION-FIELD-
dc.subjectMINIMUM INDEX-
dc.subjectSL2-
dc.subjectAUTOMORPHISMS-
dc.subjectQUOTIENTS-
dc.subjectKERNEL-
dc.subjectRING-
dc.subjectTREE-
dc.titleGenuine non-congruence subgroups of Drinfeld modular groups-
dc.typeArticle-
dc.identifier.wosid000377325100001-
dc.identifier.scopusid2-s2.0-84964677916-
dc.type.rimsART-
dc.citation.volume220-
dc.citation.issue10-
dc.citation.beginningpage3345-
dc.citation.endingpage3362-
dc.citation.publicationnameJOURNAL OF PURE AND APPLIED ALGEBRA-
dc.identifier.doi10.1016/j.jpaa.2016.04.001-
dc.contributor.nonIdAuthorMason, A. W.-
dc.type.journalArticleArticle-
dc.subject.keywordPlusARITHMETIC DOMAIN-
dc.subject.keywordPlusDEDEKIND DOMAINS-
dc.subject.keywordPlusFUNCTION-FIELD-
dc.subject.keywordPlusMINIMUM INDEX-
dc.subject.keywordPlusSL2-
dc.subject.keywordPlusAUTOMORPHISMS-
dc.subject.keywordPlusQUOTIENTS-
dc.subject.keywordPlusKERNEL-
dc.subject.keywordPlusRING-
dc.subject.keywordPlusTREE-
Appears in Collection
Files in This Item
There are no files associated with this item.

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0