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Let $$\mathcal {\scriptstyle {O}}_K$$OK be the ring of integers of an imaginary quadratic number field K. In this paper we give a new description of the maximal discrete extension of… Click to show full abstract
Let $$\mathcal {\scriptstyle {O}}_K$$OK be the ring of integers of an imaginary quadratic number field K. In this paper we give a new description of the maximal discrete extension of the group $$SL_2(\mathcal {\scriptstyle {O}}_K)$$SL2(OK) inside $$SL_2(\mathbb {C})$$SL2(C), which uses generalized Atkin–Lehner involutions. Moreover we find a natural characterization of this group in SO(1, 3).
Keywords:
sl2;
mathcal scriptstyle;
number field;
quadratic number;
maximal discrete;
imaginary quadratic
Journal Title: Archiv der Mathematik
Year Published: 2019
Link to full text (if available)
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Journal Title: Archiv der Mathematik
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!