105 citations · 705 across the 54 of their papers we have counts for
6 papers · 1 filter
The free factor complex and the dualizing module for the automorphism group of a free group
Zachary Himes, Jeremy Miller, Sam Nariman +1
Answering a question of Hatcher-Vogtmann, we prove that the top homology group of the free factor complex is not the dualizing module for , at least for .
A new approach to twisted homological stability, with applications to congruence subgroups
Andrew Putman
We introduce a new method for proving twisted homological stability, and use it to prove such results for symmetric groups and general linear groups. In addition to sometimes sligh…
Stability in the homology of unipotent groups
Andrew Putman, Steven V Sam, Andrew Snowden
Let be a (not necessarily commutative) ring whose additive group is finitely generated and let be the group of upper-triangular unipotent matrices over…
Homological vanishing for the Steinberg representation
Avner Ash, Andrew Putman, Steven V Sam
For a field , we prove that the th homology of the groups , , , , and with coefficients in their Steinberg represen…
Representation stability and finite linear groups
Andrew Putman, Steven V Sam
We construct analogues of FI-modules where the role of the symmetric group is played by the general linear groups and the symplectic groups over finite rings and prove basic struct…
Stability in the homology of congruence subgroups
Andrew Putman
The homology groups of many natural sequences of groups (e.g. general linear groups, mapping class groups, etc.) stabilize as . Indee…