Journal of Combinatorial Algebra


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Volume 1, Issue 1, 2017, pp. 59–62
DOI: 10.4171/JCA/1-1-3

Published online: 2016-12-13

Kazhdan groups whose FC-radical is not virtually abelian

Mikhail Ershov[1]

(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