A generalization of a theorem of Minkowski
A note on the arithmeitc of the orthogonal group
A note on the arithmetic of the orthogonal group - II
Appendix on the discriminant quotient formula for global field
Arithmetic groups of gauge transformations.
Beschränkte Wortlänge in SL2.
Central extensions of reductive groups by
Computation of the metaplectic kernel
Conjugacy classes of -torsion in symplectic groups over -integers.
Definite arithmetische Gruppen.
Deformation Retracts with Lowest Possible Dimension of Arithmetic Quotients of Self-Adjoint Homogeneous Cones.
Die Kohomologie S-arithmetischer Gruppen über Funktionenkörpern.
Die maximalen arithmetisch definierten Untergruppen zerfallender einfacher Gruppen.
Die unimodularen Substitutionen in einem algebraischen Zahlenkörper
Eine Bemerkung zur Reduktionstheorie in orthogonalen Gruppen.
Éléments unipotents et sous-groupes paraboliques de groupes réductifes. I.
Embeddings of maximal tori in orthogonal groups
We give necessary and sufficient conditions for an orthogonal group defined over a global field of characteristic to contain a maximal torus of a given type.
Endliche arithmetische Untergruppen der GLn.
Expansion in , square-free
Let be a fixed symmetric finite subset of that generates a Zariski dense subgroup of when we consider it as an algebraic group over by restriction of scalars. We prove that the Cayley graphs of with respect to the projections of is an expander family if ranges over square-free ideals of if and is an arbitrary numberfield, or if and .
Filling boundaries of coarse manifolds in semisimple and solvable arithmetic groups
We provide partial results towards a conjectural generalization of a theorem of Lubotzky-Mozes-Raghunathan for arithmetic groups (over number fields or function fields) that implies, in low dimensions, both polynomial isoperimetric inequalities and finiteness properties. As a tool in our proof, we establish polynomial isoperimetric inequalities and finiteness properties for certain solvable groups that appear as subgroups of parabolic groups in semisimple groups, thus generalizing a theorem of Bux....