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arXiv · 1205.4288

Linear characters of SL_2 over Dedekind domains

Hatice Boylan·Nils-Peter Skoruppa
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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 SL_2(O). For this, we determine, for arbitrary Dedekind domains O, the group of linear characters of SL_2(O) whose kernel is a congruence subgroup.

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Hatice Boylan, Nils-Peter Skoruppa. 2012-05-19. Linear characters of SL_2 over Dedekind domains. https://arxiv.org/abs/1205.4288

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