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math.GT2025
Zariski-Closures of Linear Reflection Groups
Jacques Audibert, Sami Douba, Gye-Seon Lee +1
We give necessary and sufficient conditions for a linear reflection group in the sense of Vinberg to be Zariski-dense in the ambient projective general linear group. As an applicat…
math.GT2025
Convex cocompact groups in real hyperbolic spaces with limit set a Pontryagin sphere
Sami Douba, Gye-Seon Lee, Ludovic Marquis +1
We exhibit two examples of convex cocompact subgroups of the isometry groups of real hyperbolic spaces with limit set a Pontryagin sphere: one generated by reflections of $\ma…