Linear characters of SL₂ over Dedekind domains

2012/05/19 by Hati̇ce Boylan, Hatice Boylan, Boylan, Hatice +2 · 1 citation
Computer Science · Mathematics · #11F41 (Secondary) #2010: 20H05 (Primary) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT) #Rings, Modules, and Algebras #math.GR #math.NT #msc:11F41 #msc:20H05

paper · pdf · doi:10.48550/arxiv.1205.4288

arxiv created 2012/05/19 · openalex publication_date 2012/05/19 · arxiv updated 2012/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For an important class of arithmetic Dedekind domains O including the ring of integers of not totally complex number fields, we describe explicitly the group of linear characters of SL₂(O). For this, we determine, for arbitrary Dedekind domains O, the group of linear characters of SL₂(O) whose kernel is a congruence subgroup.

Cited by

• Abelianization of SL₂ over Dedekind domains of arithmetic type

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