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math.RA2026
The Köthe conjecture via point modules
B. Greenfeld, B. King, L. Vendramin
We give a short construction refuting the Köthe Conjecture. The construction is based on the point module approach to the problem, introduced by the first-named and second-named au…
math.QA2026
Point modules of Nichols algebras over non-abelian groups
B. Greenfeld, L. Vendramin, S. Venkatesh
Nichols algebras are among the most important and mysterious objects in quantum algebra. We continue the systematic program of studying them through their point modules. We study t…
math.GR2026
How Many Reflections Make a Dihedral Set Large?
Be'eri Greenfeld, George King, Xiaoxuan Li +1
Given a size- subset of a group , how large can the product set be? We study this question, at several layers of refinement, for the infinite dihedral group. First,…