Definable Envelopes of Nilpotent Subgroups of Groups with Chain Conditions on Centralizers

Abstract

An MC group is a group in which all chains of centralizers have finite length. In this article, we show that every nilpotent subgroup of an MC 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.

Cite this paper

@inproceedings{Altinel2012DefinableEO, title={Definable Envelopes of Nilpotent Subgroups of Groups with Chain Conditions on Centralizers}, author={Tuna Altinel and Paul Baginski}, year={2012} }