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

Liping Li; Wee Liang Gan

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

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arxiv 1712.00890 v2 pith:76D7EDQD submitted 2017-12-04 math.RT math.ATmath.KTmath.NT

Wee Liang Gan , Liping Li This is my paper · ORCID

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keywords linearhomologycongruencefi-modulesrangestablesubgroupsanswer

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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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