Kazhdan quotients of Golod-Shafarevich groups

Details Kazhdan quotients of Golod-Shafarevich groups Kazhdan quotients of Golod-Shafarevich groups

2009-08-26

arxiv.org/abs/0908.3734v2

Proc. London Math. Soc. 102 (2011), no. 4, 599-636

Mathematics

Group Theory

38 pages, final preprint version (slightly different from the published version)

Scientific paper

10.1112/plms/pdq022

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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