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Preprint Number 367

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367. Tuna Altinel and Paul Baginski
Definable Envelopes of Nilpotent Subgroups of Groups with Chain Conditions on Centralizers
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Submission date: 26 October 2011.


An 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 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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Full text arXiv 1110.4849: pdf, ps.

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