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math.GR2023
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…
math.GT2023
Generating the homology of covers of surfaces
Marco Boggi, Andrew Putman, Nick Salter
Putman and Wieland conjectured that if is a finite branched cover between closed oriented surfaces of sufficiently high genus, then the orbits of all nonzer…