2022/12/18 by Habiro, Kazuo, Katada, Mai
#11F75 #20J06 #22E46 #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR)
paper · doi:10.48550/arxiv.2212.09074
Borel's stability and vanishing theorem gives the stable cohomology of GL(n,ℤ) with coefficients in algebraic GL(n,ℤ)-representations. We compute the improved stable range that Borel remarked about. In order to further improve Borel's stable range, we adapt the method of Kupers-Miller-Patzt to any algebraic GL(n,ℤ)-representations.