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math.GR2025
Embedding groups into acyclic groups
Martin Palmer, Xiaolei Wu
We show that labelled Thompson groups and twisted Brin--Thompson groups are all acyclic. This allows us to prove several new embedding results for groups. First, every group of typ…
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…