{"title":"Congruence testing for odd subgroups of the modular group","authors":"Thomas Hamilton, David Loeffler","doi":"10.1112/S1461157013000338","DOIUrl":null,"url":null,"abstract":"We give a computationally effective criterion for determining whether a finite-index subgroup of SL2(Z) is a congruence subgroup, extending earlier work of Hsu for subgroups of PSL2(Z).","PeriodicalId":54381,"journal":{"name":"Lms Journal of Computation and Mathematics","volume":"17 1","pages":"206-208"},"PeriodicalIF":0.0000,"publicationDate":"2013-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1112/S1461157013000338","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Lms Journal of Computation and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1112/S1461157013000338","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 1
Abstract
We give a computationally effective criterion for determining whether a finite-index subgroup of SL2(Z) is a congruence subgroup, extending earlier work of Hsu for subgroups of PSL2(Z).
期刊介绍:
LMS Journal of Computation and Mathematics has ceased publication. Its final volume is Volume 20 (2017). LMS Journal of Computation and Mathematics is an electronic-only resource that comprises papers on the computational aspects of mathematics, mathematical aspects of computation, and papers in mathematics which benefit from having been published electronically. The journal is refereed to the same high standard as the established LMS journals, and carries a commitment from the LMS to keep it archived into the indefinite future. Access is free until further notice.