Residual Linearity for Certain Nilpotent Groups

P. Menal
1978 Proceedings of the American Mathematical Society  
In this note we consider relations between residual finiteness and residual linearity for a nilpotent group G. We show, amongst other things, that if the center and the commutator subgroup of G aie finitely generated and G is residually linear, then G is residually finite. Indeed the property which we use on linear groups is that linear groups satisfy the minimal condition on centralizers.
doi:10.2307/2040902 fatcat:joq6vj5ckzdxxp5eik7oxyl6vq