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arXiv · 2205.08021

On the Homology stability range for symplectic groups

Marco Schlichting
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Abstract

We improve, by a factor of 2, known homology stability ranges for the integral homology of symplectic groups over commutative local rings with infinite residue field and show that the obstruction to further stability is bounded below by Milnor-Witt K-theory. In particular our stability range is optimal in many cases.

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Marco Schlichting. 2022-05-16. On the Homology stability range for symplectic groups. https://doi.org/10.1112/s0010437x25102856

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