On asymptotic dimension of groups.
Page 1
Bell, G., Dranishnikov, A. (2001)
Algebraic & Geometric Topology
Mahmood, R.M.S. (2003)
International Journal of Mathematics and Mathematical Sciences
R. M. S. Mahmud (1993)
Revista colombiana de matematicas
Gebhard Böckle, Ralf Butenuth (2012)
Journal de Théorie des Nombres de Bordeaux
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...
Mahmood, R.M.S., Khanfar, M.I. (2000)
International Journal of Mathematics and Mathematical Sciences
Bartholdi, Laurent, Grigorchuk, Rostislav (2002)
Serdica Mathematical Journal
* 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...
W. S. Jassim (1996)
Revista Matemática de la Universidad Complutense de Madrid
Page 1