Abstract
We construct Golod-Shafarevich groups with property and thus provide counterexamples to a conjecture stated in a recent article of Zelmanov [Z2]. Explicit examples of such groups are given by lattices in certain topological Kac-Moody groups over finite fields. We provide several applications of this result, including examples of residually finite torsion nonamenable groups
Citation
Mikhail Ershov. "Golod-Shafarevich groups with property () and Kac-Moody groups." Duke Math. J. 145 (2) 309 - 339, 1 November 2008. https://doi.org/10.1215/00127094-2008-053
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