3 papers
math.GR2026
Stable Invariants of Words from Random Matrices
Doron Puder, Yotam Shomroni, Danielle Ernst-West +1
Let be a word in a free group. A few years ago, Magee and the first named author discovered that the stable commutator length (scl) of , a well-known topological invariant,…
math.GR2025
Primitivity Testing in Free Group Algebras via Duality
Matan Seidel, Danielle Ernst-West, Doron Puder
Let be a field and a free group. By a classical result of Cohn and Lewin, the free group algebra is a free ideal ring (FIR): a ring over which the submodu…
math.GR2024
Word Measures on and Free Group Algebras
Danielle Ernst-West, Doron Puder, Matan Seidel
Fix a finite field of order and a word in a free group on generators. A -random element in is obtained by sampling independent uniformly random…