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math.GR2026
A note on the proof of nonamenability of F
Sang-hyun Kim, Yash Lodha
The goal of this note is to provide a human written exposition of OpenAI's recent proof that Thompson's group F is nonamenable.
math.GR2026
A note on normal generation and the first -betti number
Sam P. Fisher, Yash Lodha
In , Osin and Thom conjectured that the first -Betti number of a torsion-free discrete group is bounded above by the normal rank of the group minus one. The conjectur…