Absolute profinite rigidity and hyperbolic geometry

We construct arithmetic Kleinian groups that are profinitely rigid in the absolute sense: each is distinguished from all other finitely generated, residually finite groups by its set of finite quotients. The Bianchi group PSL(2, Z[ω]) with ω2 + ω + 1 = 0 is rigid in this sense. Other examples includ...

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Main Authors: Bridson, M, McReynolds, DB, Reid, AW, Spitler, R
格式: Journal article
语言:English
出版: Princeton University, Department of Mathematics 2020