2 citations · 3 across the 19 of their papers we have counts for
7 papers · 1 filter
Dirichlet-Ford domains and Double Dirichlet domains
Eric Jespers, Stanley Orlando Juriaans, Ann Kiefer +2
We continue investigations started by Lakeland on Fuchsian and Kleinian groups which have a Dirichlet fundamental domain that also is a Ford domain in the upper half-space model of…
From the Poincaré Theorem to generators of the unit group of integral group rings of finite groups
Eric Jespers, Stanley Orlando Juriaans, Ann Kiefer +2
We give an algorithm to determine finitely many generators for a subgroup of finite index in the unit group of an integral group ring of a finite nilpotent group …
Traces of Torsion Units
S. O. Juriaans, A. De A. E Silva, A. C. Souza Filho
A conjecture due to Zassenhaus asserts that if is a finite group then any torsion unit in is conjugate in to an element of . We present a wea…
A Note on Discrete Groups
Stanley O. Juriaans, Severino C. Lima Neto, Antonio de A. E. Silva
We prove that a group has a DF domain if and only if has a Double Dirichlet domain. We give a good describtion of the side-paring transformation of such groups. In particular, thos…
Poincaré Bisectors in Hyperbolic Spaces
Eric Jespers, Stanley Orlando Juriaans, Ann Kiefer +2
We determine explicit formulas for the bisectors used in constructing a Dirichlet fundamental domain in hyperbolic two and three space. They are compared with the isometric spheres…
Free Groups in Quaternion Algebras
S. O. Juriaans, A. C. Souza Filho
In \cite{jpsf} we constructed pairs of units in -orders of a quaternion algebra over $\Q (\sqrt{-d})$, positive and square free, such that $< u^ n,v^…