Bounded generation of S-arithmetic subgroups of isotropic orthogonal groups over number fields

Details Bounded generation of S-arithmetic subgroups of isotropic orthogonal groups over number fields Bounded generation of S-arithmetic subgroups of isotropic orthogonal groups over number fields

2005-08-24

arxiv.org/abs/math/0508480v2

Mathematics

Group Theory

An extended version of the paper accepted by the Journal of Number Theory, it includes a self-contained proof of Witt's theore

Scientific paper

Let f be a nondegenerate quadratic form in at least 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 at least 2 or it is 1 and S contains a non-Archimedean valuation, then the S-arithmetic subgroups of the special orthogonal group of f have bounded generation. These groups provide a series of examples of boundedly generated S-arithmetic groups in isotropic, but not quasi-split, algebraic groups.

Affiliated with

Also associated with

No associations

Rating

Bounded generation of S-arithmetic subgroups of isotropic orthogonal groups over number fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bounded generation of S-arithmetic subgroups of isotropic orthogonal groups over number fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bounded generation of S-arithmetic subgroups of isotropic orthogonal groups over number fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-263193