%0 Journal Article
%T Definable Envelopes of Nilpotent Subgroups of Groups with Chain Conditions on Centralizers
%A Tuna Alt\inel
%A Paul Baginski
%J Mathematics
%D 2011
%I arXiv
%X An $\mathfrak{M}_C$ group is a group in which all chains of centralizers have finite length. In this article, we show that every nilpotent subgroup of an $\mathfrak{M}_C$ group is contained in a definable subgroup which is nilpotent of the same nilpotence class. Definitions are uniform when the lengths of chains are bounded.
%U http://arxiv.org/abs/1110.4849v1