9 citations · 18 across the 4 of their papers we have counts for
4 papers · 1 filter
Graphs of subgroups of free groups
Larsen Louder, D. B. McReynolds
We construct an efficient model for graphs of finitely generated subgroups of free groups. Using this we give a very short proof of Dicks's reformulation of the strengthened Hanna…
Krull dimension for limit groups IV: Adjoining roots
Larsen Louder
This is the fourth and last paper in a sequence on Krull dimension for limit groups, answering a question of Z. Sela. In it we finish the proof, analyzing limit groups obtained fro…
Krull dimension for limit groups I: Bounding strict resolutions
Larsen Louder
This is the first paper in a sequence on Krull dimension for limit groups, answering a question of Z. Sela. In this paper we show that strict resolutions of a fixed limit group hav…
Krull dimension for limit groups III: Scott complexity and adjoining roots to finitely generated groups
Larsen Louder
This is the third paper in a sequence on Krull dimension for limit groups, answering a question of Z. Sela. We give generalizations of the well known fact that a nontrivial commuta…