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math.GR2013
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 …
math.GR2009
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^…
math.GR2008
Alternative algebras with the hyperbolic property
S. O. Juriaans, C. Polcino Milies, A. C. Souza Filho
We investigate the structure of an alternative finite dimensional $\Q$-algebra subject to the condition that for a -order , and thus for e…