Golod-Shafarevich群的Kazhdan行列式
Kazhdan quotients of Golod-Shafarevich groups
摘要:
本文的主要目的是证明每一个Golod-Shafarevich群都有一个无限商,且满足Kazhdan性质$(T)$ .特别是,这给出了一个肯定的答案,著名的问题,不顺从的戈洛德-Shafarevich集团。
英文摘要:
The main goal of this paper is to prove that every Golod-Shafarevich group has an infinite quotient with Kazhdan's property $(T)$. In particular, this gives an affirmative answer to the well-known question about non-amenability of Golod-Shafarevich groups.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。