On the structure of a poly-$\mathbb{Z}$ group

关于残余多项Z群的最高维L²贝塔数

On the top-dimensional $L^2$-Betti number of residually poly-$\mathbb Z$ groups

本文研究了残余多项Z群的最高维L²贝塔数与商群核的有限型关系，证明了该数为零的充要条件。

Blocks with defect group $\mathbb Z_{2^n}\times \mathbb Z_{2^n}\times \mathbb Z_{2^m}$

In this paper, we prove that a block with defect group $\mathbb Z_{2^n}\times \mathbb Z_{2^n}\times \mathbb Z_{2^m}$, where $n\geq 2$ and $m$ is arbitrary, is Morita equivalent to its Brauer correspondent.

Polyhedral Groups in $G_2(\mathbb{C})$

We classify embeddings of the finite groups $A_4$, $S_4$ and $A_5$ in the Lie group $G_2(\mathbb{C})$ up to conjugation.

$\mathbb{H}^4$和$\mathbb{H}^5$中紧Coxeter多面体的不可数多个共度量类

Infinitely many commensurability classes of compact Coxeter polyhedra in $\mathbb{H}^4$ and $\mathbb{H}^5$

本文证明了Makarov构造的4维和5维双曲空间中的紧Coxeter多面体族能产生无限多个共度量反射群类。