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 SL(2, a). For this, we introduce and determine, for arbitrary Dedekind domains o, the group of linear characters of SL(2, o) whose kernel is a congruence subgroup. (C) 2012 Elsevier Inc. All rights reserved.
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American Univ, Dept Math & Stat, 4400 Massachusetts Ave NW, Washington, DC 20016 USAAmerican Univ, Dept Math & Stat, 4400 Massachusetts Ave NW, Washington, DC 20016 USA
Adler, Jeffrey D.
DeBacker, Stephen
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Univ Michigan, Dept Math, Ann Arbor, MI 48109 USAAmerican Univ, Dept Math & Stat, 4400 Massachusetts Ave NW, Washington, DC 20016 USA
DeBacker, Stephen
Sally, Paul J., Jr.
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Univ Chicago, Dept Math, Chicago, IL 60637 USAAmerican Univ, Dept Math & Stat, 4400 Massachusetts Ave NW, Washington, DC 20016 USA
Sally, Paul J., Jr.
Spice, Loren
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Texas Christian Univ, Dept Math, Ft Worth, TX 76109 USAAmerican Univ, Dept Math & Stat, 4400 Massachusetts Ave NW, Washington, DC 20016 USA
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Belgorod State Univ, Dept Math & Informat Technol, Belgorod 308015, RussiaBelgorod State Univ, Dept Math & Informat Technol, Belgorod 308015, Russia