Definable envelopes of nilpotent subgroups of groups with chain conditions on centralizers

Definable envelopes of nilpotent subgroups of groups with chain conditions on centralizers

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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Veröffentlicht in:Proceedings of the American Mathematical Society 2014-05, Vol.142 (5), p.1497-1506
Hauptverfasser: ALTINEL, TUNA, BAGINSKI, PAUL
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Group Theory
Integers
Logic
Logical theorems
Mathematical logic
Mathematics
Model theory
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Zusammenfassung: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.]]>
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-2014-11879-X