On generators of Hilbert modular groups of totally real number fields

Lance M. Everhart · NC Digital Online Collection of Knowledge and Scholarship (The University of North Carolina at Greensboro) · 2016

In this paper we report the beginnings of the computations and tabulations of the generators of $\PSL_2(\OK)$, where $\OK$ is the maximal order of a real field of degree $n=[K:\QQ]$. We discuss methods of obtaining generators in order to calculate the values of invariants of the congruence subgroups. [This text field cannot display some of the mathematical formatting used in this abstract. To see the correctly formatted abstract, please click on the PDF below.]

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