Homological stability for general linear groups over Dedekind domains

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Abstract

We prove a new kind of homological stability theorem for automorphism groups of finitely-generated projective modules over Dedekind domains, which takes into account all possible stabilisation maps between these, rather than only stabilisation by the free module of rank 1. We show the same kind of stability holds for Clausen and Jansen's reductive Borel--Serre spaces.

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Oscar Randal‐Williams (Mon,) studied this question.

synapsesocial.com/papers/68e6a745b6db64358762a414 https://doi.org/https://doi.org/10.48550/arxiv.2405.07566

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