Obstruction to a Higman embedding theorem for residually finite groups with solvable word problem

Monoids that map onto the Thompson-Higman groups

A slight modification of the definition of the Thompson-Higman groups G_k1 and F_k1 leads to inverse monoids that map onto G_k1 (respectively F_k1), and that have interesting properties: they are finitely generated, and residually finite. These inverse monoids are closely related to the suffix expansion of G_k1 (respectively F_k1).

Higman-Thompson群与右角Coxeter群的紧致性质

Higman-Thompson groups and profinite properties of right-angled Coxeter groups

本文证明了右角Coxeter群在Coxeter群中具有profinite刚性，并展示了某些RACG具有无限profinite genus，同时推广了Higman关于Thompson群$V$的生成结果。

双侧移位的自同构与Higman--Thompson群 III：扩张

Automorphisms of the two-sided shift and the Higman--Thompson groups III: extensions

本文用Higman--Thompson群的外自同构子群解释移位动力系统自同构理论，实现惰性子群并证明自同构群包含多种重要群结构，同时扩展了相关自同构到外自同构群。

QWEP性质在扭曲交叉积下的稳定性

QWEP stability under twisted crossed products

本文研究扭曲交叉积的QWEP性质，证明其不被超线性群交叉积保持，给出非QWEP例子，并建立标量扭曲下QWEP的等价条件及正则圈积的限制定理，为Fourier乘子转移提供输入并识别范数障碍。