3 papers
math.GT2025
The number of ends of big mapping class groups
Josiah Oh, Yulan Qing, Xiaolei Wu
We analyze the number of ends of the mapping class group of a stable avenue surface. We prove that the mapping class group is one-ended whenever the stable avenue surface has at le…
math.GR2025
Infinitely presented simple groups separated by homological finiteness properties
Claudio Llosa Isenrich, Eduard Schesler, Xiaolei Wu
Given a finitely generated linear group over , we construct a simple group that has the same finiteness properties as and admits as a quasi-retract. As…
math.GR2025
On the Boone--Higman Conjecture for groups acting on locally finite trees
Kai-Uwe Bux, Claudio Llosa Isenrich, Xiaolei Wu
We develop a method for proving the Boone--Higman Conjecture for groups acting on locally finite trees. As a consequence, we prove the Boone--Higman Conjecture for all Baumslag--So…