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arXiv 0908.3734math.GR
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Golod-Shafarevich群的Kazhdan行列式

Kazhdan quotients of Golod-Shafarevich groups

Mikhail Ershov, Andrei Jaikin-Zapirain

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。

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