Journal of Combinatorial Algebra
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Published online: 2016-12-13
Kazhdan groups whose FC-radical is not virtually abelianMikhail Ershov (1) University of Virginia, Charlottesville, USA
We construct examples of residually finite groups with Kazhdan's property ($T$) whose FC-radical is not virtually abelian. This answer a question of Popa and Vaes about possible fundamental groups of II$_1$ factors arising from Kazhdan groups.
Keywords: Kazhdan's property (T), Golod–Shafarevich groups, FC-radical
Ershov Mikhail: Kazhdan groups whose FC-radical is not virtually abelian. J. Comb. Algebra 1 (2017), 59-62. doi: 10.4171/JCA/1-1-3