2 papers
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.GT2025
Compact and finite-type support in the homology of big mapping class groups
Martin Palmer, Xiaolei Wu
For any infinite-type surface , a natural question is whether the homology of its mapping class group contains any non-trivial classes that are supported on (i) a compact subsur…