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arXiv · 1712.00890

Linear stable range for homology of congruence subgroups via FI-modules

Wee Liang Gan·Liping Li
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Abstract

We answer positively a question of Church, Miller, Nagpal and Reinhold on existence of a linear bound on the presentation degree of the homology of a complex of FI-modules. This implies a linear stable range for the homology of congruence subgroups of general linear groups.

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BibTeXRIS

Wee Liang Gan, Liping Li. 2017-12-04. Linear stable range for homology of congruence subgroups via FI-modules. https://arxiv.org/abs/1712.00890

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