6 citations · 32 across the 21 of their papers we have counts for
21 papers
Virtual inheritance properties of graph products
Xiaoming Huang, Xiaolei Wu, Shengkui Ye
We prove that many virtual properties are closed under taking graph products, including: virtually RFRS, virtually (compact) special, virtually CAT(0) cube, and virtually normally…
Big mapping class groups with uncountable integral homology
Martin Palmer, Xiaolei Wu
We prove that, for any infinite-type surface , the integral homology of the closure of the compactly-supported mapping class group and of the Tor…
On the homology of big mapping class groups
Martin Palmer, Xiaolei Wu
We prove that the mapping class group of the one-holed Cantor tree surface is acyclic. This in turn determines the homology of the mapping class group of the once-punctured Cantor…
Block mapping class groups and their finiteness properties
Javier Aramayona, Julio Aroca, María Cumplido +2
A Cantor surface is a non-compact surface obtained by gluing copies of a fixed compact surface (a block), with boundary components, in a tree-like fashio…
Asymptotic mapping class groups of Cantor manifolds and their finiteness properties
Javier Aramayona, Kai-Uwe Bux, Jonas Flechsig +2
We prove that the infinite family of asymptotic mapping class groups of surfaces of defined by Funar--Kapoudjian and Aramayona--Funar are of type , thus answering questio…
Homological stability for the ribbon Higman--Thompson groups
Rachel Skipper, Xiaolei Wu
We generalize the notion of asymptotic mapping class groups and allow them to surject to the Higman--Thompson groups, answering a question of Aramayona and Vlamis in the case of th…
Finiteness properties for relatives of braided Higman--Thompson groups
Rachel Skipper, Xiaolei Wu
We study the finiteness properties of the braided Higman--Thompson group with labels in , and and with labels in w…
Poly-freeness of Artin groups and the Farrell-Jones Conjecture
Xiaolei Wu
We provide two simple proofs of the fact that even Artin groups of FC-type are poly-free which was recently established by R. Blasco-Garcia, C. Martínez-Pérez and L. Paris. More ge…
The Farrell-Jones Conjecture for normally poly-free groups
Benjamin Brück, Dawid Kielak, Xiaolei Wu
We prove the - and -theoretic Farrell-Jones Conjecture with coefficients in an additive category for every normally poly-free group, in particular for even Artin groups of FC…
On the homotopy of closed manifolds and finite CW-complexes
Yang Su, Xiaolei Wu
We study the finite generation of homotopy groups of closed manifolds and finite CW-complexes by relating it to the cohomology of their fundamental groups. Our main theorems are as…
Riemannian foliation with exotic tori as leaves
F. Thomas Farrell, Xiaolei Wu
We construct smooth fiber bundles such that the fibers are exotic tori and the total space has finite abelian fundamental group. This gives examples of a Riemannian foliation on a…
Some results related to finiteness properties of groups for families of subgroups
Timm von Puttkamer, Xiaolei Wu
For a group we consider the classifying space for the family of virtually cyclic subgroups. We show that an Artin group admits a finite model for $E_{\m…
Linear Groups, Conjugacy Growth, and Classifying Spaces for Families of Subgroups
Timm von Puttkamer, Xiaolei Wu
Given a group and a family of subgroups , we consider its classifying space with respect to . When is…
Note on the injectivity of the Loday assembly map
Mark Ullmann, Xiaolei Wu
We show that for finite groups the Loday assembly map with coefficients in finite fields is in general not injective.
The Isomorphism Conjecture for solvable groups in Waldhausen's A-theory
F. Thomas Farrell, Xiaolei Wu
We prove the A-theoretic Isomorphism Conjecture with coefficients and finite wreath products for solvable groups.
On the finiteness of the classifying space for the family of virtually cyclic subgroups
Timm von Puttkamer, Xiaolei Wu
Given a group G, we consider its classifying space for the family of virtually cyclic subgroups. We show for many groups, including for example, one-relator groups, acylindrically…
Farrell-Jones Conjecture for fundamental groups of graphs of virtually cyclic groups
Xiaolei Wu
In this note, we prove the K- and L-theoretic Farrell-Jones Conjecture with coefficients in an additive category for fundamental groups of graphs of virtually cyclic groups.
Stability results for Houghton groups
Peter Patzt, Xiaolei Wu
We prove homological stability for a twisted version of the Houghton groups and their multidimensional analogues. Based on this, we can describe the homology of the Houghton groups…
The Farrell-Jones Conjecture for some nearly crystallographic groups
F. Thomas Farrell, Xiaolei Wu
In this paper, we prove the K-theoretical and L-theoretical Farrell-Jones Conjecture with coefficients in an additive category for nearly crystallographic groups of the form $\math…
Isomorphism Conjecture for Baumslag-Solitar groups
Tom Farrell, Xiaolei Wu
In this paper, we prove the K- and L-theoretical Isomorphism Conjecture for Baumslag-Solitar groups with coefficients in an additive category.
The Farrell-Jones Conjecture for the solvable Baumslag-Solitar groups
Tom Farrell, Xiaolei Wu
In this paper, we prove the Farrell-Jones Conjecture for the solvable Baumslag-Solitar groups with coefficients in an additive category. We also extend our results to groups of the…