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math.GT2026
-manifold groups are linear
Xiaolei Wu, Shengkui Ye
We prove that the fundamental group of every compact graph -manifold is linear over the complex numbers. As a corollary, all fundamental groups of compact -manifolds are line…
math.GR2026
Pure braid groups are RFRS
Xiaolei Wu, Shengkui Ye
Agol in his 2014 ICM proceedings article \cite[Question 11]{Agol14} asks whether braid groups are (virtually) RFRS. We answer this positively by showing that pure braid groups are…
math.GR2026
Abstract twisted Brin--Thompson groups
Francesco Fournier-Facio, Xiaolei Wu, Matthew C. B. Zaremsky
Given a group acting faithfully on a set , one gets a simple group denoted , called a twisted Brin--Thompson group. In this paper we drop the faithfulness assumption,…