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arXiv · 1110.4849

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

Tuna Altınel·Paul Baginski
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Abstract

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.

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BibTeXRIS

Tuna Altınel, Paul Baginski. 2011-10-21. Definable Envelopes of Nilpotent Subgroups of Groups with Chain Conditions on Centralizers. https://arxiv.org/abs/1110.4849

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