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

• Wee Liang Gan ^[2] ; Liping Li ^[1]
  1. [1] Hunan Normal University

     Hunan Normal University

     China

     
  2. [2] University of California, USA
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 25, Nº. 4, 2019
• Idioma: inglés
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• Resumen

  • 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.