Steinberg homology vanishes in a range for all reductive groups, and the double Tits building T^2(Z^n) is n-connected, refining the Church-Farb-Putman conjecture in degrees 1 and 2.
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Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures
Steinberg homology vanishes in a range for all reductive groups, and the double Tits building T^2(Z^n) is n-connected, refining the Church-Farb-Putman conjecture in degrees 1 and 2.