The Congruence Subgroup Property does not imply Invariable Generation
Tsachik Gelander, Chen Meiri · arXiv (Cornell University) · 2015
It was suggested in [KLS14] that for arithmetic groups, the Congruence Subgroup Property is equivalent to Invariable Generation. In this paper we dismiss this conjecture by proving that certain arithmetic groups which possess the first property do not posses the later one.