DC Field | Value | Language |
---|---|---|
dc.contributor.author | Mason, A. W. | ko |
dc.contributor.author | Schweizer, Andreas | ko |
dc.date.accessioned | 2016-07-07T06:58:20Z | - |
dc.date.available | 2016-07-07T06:58:20Z | - |
dc.date.created | 2016-07-04 | - |
dc.date.created | 2016-07-04 | - |
dc.date.issued | 2016-10 | - |
dc.identifier.citation | JOURNAL OF PURE AND APPLIED ALGEBRA, v.220, no.10, pp.3345 - 3362 | - |
dc.identifier.issn | 0022-4049 | - |
dc.identifier.uri | http://hdl.handle.net/10203/210153 | - |
dc.description.abstract | Let 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.language | English | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.subject | ARITHMETIC DOMAIN | - |
dc.subject | DEDEKIND DOMAINS | - |
dc.subject | FUNCTION-FIELD | - |
dc.subject | MINIMUM INDEX | - |
dc.subject | SL2 | - |
dc.subject | AUTOMORPHISMS | - |
dc.subject | QUOTIENTS | - |
dc.subject | KERNEL | - |
dc.subject | RING | - |
dc.subject | TREE | - |
dc.title | Genuine non-congruence subgroups of Drinfeld modular groups | - |
dc.type | Article | - |
dc.identifier.wosid | 000377325100001 | - |
dc.identifier.scopusid | 2-s2.0-84964677916 | - |
dc.type.rims | ART | - |
dc.citation.volume | 220 | - |
dc.citation.issue | 10 | - |
dc.citation.beginningpage | 3345 | - |
dc.citation.endingpage | 3362 | - |
dc.citation.publicationname | JOURNAL OF PURE AND APPLIED ALGEBRA | - |
dc.identifier.doi | 10.1016/j.jpaa.2016.04.001 | - |
dc.contributor.nonIdAuthor | Mason, A. W. | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | ARITHMETIC DOMAIN | - |
dc.subject.keywordPlus | DEDEKIND DOMAINS | - |
dc.subject.keywordPlus | FUNCTION-FIELD | - |
dc.subject.keywordPlus | MINIMUM INDEX | - |
dc.subject.keywordPlus | SL2 | - |
dc.subject.keywordPlus | AUTOMORPHISMS | - |
dc.subject.keywordPlus | QUOTIENTS | - |
dc.subject.keywordPlus | KERNEL | - |
dc.subject.keywordPlus | RING | - |
dc.subject.keywordPlus | TREE | - |
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