Kazhdan quotients of Golod-Shafarevich groups
classification
🧮 math.GR
keywords
golod-shafarevichgroupskazhdanaffirmativeanswereverygivesgoal
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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.
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