Bounded Generation of S-Arithmetic Subgroups of Isotropic Orthogonal Groups over Number Fields
- UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
- Igor Erovenko, Associate Professor and Director of Undergraduate Study (Creator)
- Institution
- The University of North Carolina at Greensboro (UNCG )
- Web Site: http://library.uncg.edu/
Abstract: Let f be a nondegenerate quadratic form in n ¾ 5 variables over a number field K and let S be a finite set of valuations of K containing all Archimedean ones. We prove that if the Witt index of f is ¾ 2 or it is 1 and S contains a non-
Archimedean valuation, then the S-arithmetic subgroups of SOn( f ) have bounded generation. These groups provide a series of examples of boundedly generated Sarithmetic groups in isotropic, but not quasi-split, algebraic groups.
Bounded Generation of S-Arithmetic Subgroups of Isotropic Orthogonal Groups over Number Fields
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Created on 1/1/2006
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Additional Information
- Publication
- Journal of Number Theory (2006): 119.1, 28-48
- Language: English
- Date: 2006