On asymptotic dimension of groups.
On centralizers of elements of groups acting on trees with inversions.
On commuting elemts of groups acting on trees
On computing quaternion quotient graphs for function fields
Let be a maximal -order in a division quaternion algebra over which is split at the place . The present article gives an algorithm to compute a fundamental domain for the action of the group of units on the Bruhat-Tits tree associated to . This action is a function field analog of the action of a co-compact Fuchsian group on the upper half plane. The algorithm also yields an explicit presentation of the group in terms of generators and relations. Moreover we determine an upper bound...
On invertor elements and finitely generated subgroups of groups acting on trees with inversions.
On Parabolic Subgroups and Hecke Algebras of some Fractal Groups
* The authors thank the “Swiss National Science Foundation” for its support.We study the subgroup structure, Hecke algebras, quasi-regular representations, and asymptotic properties of some fractal groups of branch type. We introduce parabolic subgroups, show that they are weakly maximal, and that the corresponding quasi-regular representations are irreducible. These (infinite-dimensional) representations are approximated by finite-dimensional quasi-regular representations. The Hecke algebras...
On the intersection of finitely generated subgroups of free groups.