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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.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 a single vertex is virtually special, but many of them cannot virtually act freely and cocompactly on CAT(0) cube complexes…
math.GR2023
Splittings and poly-freeness of triangle Artin groups
Xiaolei Wu, Shengkui Ye
We prove that the triangle Artin group splits as a graph of free groups if and only if is greater than and even. This answers two questions of Jankiewi…