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math.GR2026
Profinite recognition of uniformity
Holger Kammeyer
Let be a semisimple Lie group that is not isogenous to the isometry group of real or complex hyperbolic -space. We show that the rational rank is a profinite invariant for i…
math.GR2026
A counterexample to the determinant approximation conjecture
Holger Kammeyer
The determinant approximation conjecture states that for a residually finite group and a chain of finite index normal subgroups with trivial intersection, the Fuglede-Kad…
math.GR2026
Congruence rigidity of algebraic groups
Adrian Baumann, Holger Kammeyer
We identify the simple algebraic groups over number fields that are, in a suitable sense, determined by their finite adele points. Assuming CSP and Grothendieck rigidity, our resul…