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math.GR2021★ 1 cited
Convex-cocompact subgroups of the Goeritz group
Bena Tshishiku
We show that finitely-generated, purely pseudo-Anosov subgroups of the genus-2 Goeritz group are convex cocompact in the genus-2 mapping class group.
math.GR2020
Arithmeticity of groups
Bena Tshishiku
We study when the group is arithmetic where is hyperbolic and semisimple. We begin by giving a characterization of arithmetic…
math.GR2019★ 7 cited
Borel's stable range for the cohomology of arithmetic groups
Bena Tshishiku
In this note, we remark on the range in Borel's theorem on the stable cohomology of the arithmetic groups Sp(2n,Z) and SO(n,n;Z). This improves the range stated in Borel's original…