On generators of Hilbert modular groups of totally real number fields

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
Lance M. Everhart (Creator)
The University of North Carolina at Greensboro (UNCG )
Web Site: http://library.uncg.edu/
Sebastian Pauli

Abstract: 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.]

Additional Information

Language: English
Date: 2016
Generators, Hilbert, Modular, Quadratic fields
Hilbert modules
Modular groups
Quadratic fields
Numbers, Real

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