Reducts of stable, CM-trivial theories

Nübling, Herwig

doi:10.2178/jsl/1129642113

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A Cover Without the Cbp1

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2019

2022

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Cited by 4 publications

(2 citation statements)

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“…Moreover, our structure N is simply a reduct of M eq µ (in fact, of (M µ , V 2 µ )). By a result of Nübling [9], any reduct of a finite Morley rank CM-trivial theory is also CM-trivial.…”

Section: A Cover Without the Cbpmentioning

confidence: 99%

CM-trivial structures without the canonical base property

Blossier,

Jimenez

2021

Preprint

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Section: A Cover Without the Cbpmentioning

confidence: 99%

CM-trivial structures without the canonical base property

Blossier,

Jimenez

2021

Preprint

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“…x For CM-trivialty we can use H.Nübling's result in [15]: Reducts of CM-trivial stable theories of finite Lascar rank are CM-trivial.…”

Section: Wherementioning

confidence: 99%

Nilpotent Group-Counterexamples to Zilbers Conjecture

Baudisch¹

2019

Preprint

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We construct uncountably categorical 3-nilpotent groups of exponent p > 3. They are not one-based and do not allow the interpretation of an infinite field. Therefore they are counterexamples to Zil'ber's Conjecture. First 2-nilpotent new uncoutably categorical groups were contructed in [3].Here we use the method of the additive Collapse developed in [5]. Essentially we work with 3-nilpotent graded Lie algebras over the field with p elements.

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