3 papers
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.AG2025
Linearity and virtual poly-freeness of the fundamental group of plane curves of degree at most five
Shengkui Ye, Kejia Zhu
We prove that for any algebraic plane curve of degree at most , the fundamental group is linear and virtually polyfree. As a consequence, we a…
math.GR2025
Some questions related to free-by-cyclic groups and tubular groups
Xiaolei Wu, Shengkui Ye
We prove that a CAT(0) free-by-cyclic tubular group with one vertex is virtually special, but many of them cannot virtually act freely and cocompactly on CAT(0) cube complexes. Thi…