105 citations · 705 across the 54 of their papers we have counts for
5 papers · 1 filter
Word length versus lower central series depth for surface groups and RAAGs
Justin Malestein, Andrew Putman
For surface groups and right-angled Artin groups, we prove lower bounds on the shortest word in the generators representing a nontrivial element of the kth term of the lower centra…
On finite generation of the Johnson filtrations
Thomas Church, Mikhail Ershov, Andrew Putman
We prove that every term of the lower central series and Johnson filtrations of the Torelli subgroups of the mapping class group and the automorphism group of a free group is finit…
The complex of partial bases for F_n and finite generation of the Torelli subgroup of Aut(F_n)
Matthew B. Day, Andrew Putman
We study the complex of partial bases of a free group, which is an analogue for $\Aut(F_n)$ of the curve complex for the mapping class group. We prove that it is connected and simp…
Obtaining presentations from group actions without making choices
Andrew Putman
Consider a group acting nicely on a simply-connected simplicial complex . Numerous classical methods exist for using this group action to produce a presentation for . For…
The rationality of Sol manifolds
Andrew Putman
Let be the fundamental group of a manifold modeled on three dimensional Sol geometry. We prove that has a finite index subgroup which has a rational growth series with…