Internality and interpretable automorphism groups in simple theories

Ziv Shami

doi:10.1016/j.apal.2003.12.004

Internality and interpretable automorphism groups in simple theories

Ziv Shami

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The binding group (which we call the automorphism group) theorem for stable theories is partially extended to the simple context. Some results concerning internality are proved. We also introduce a 'small' normal subgroup G₀⁺ of the automorphism group G = Aut(p/Q) and show that if p is Q-internal then it has a finite exponent and G/G₀⁺ is interpretable.

Original language	English
Pages (from-to)	149-162
Number of pages	14
Journal	Annals of Pure and Applied Logic
Volume	129
Issue number	1-3
DOIs	https://doi.org/10.1016/j.apal.2003.12.004
State	Published - Oct 2004
Externally published	Yes

Keywords

Automorphism group
Controlled
Internal

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10.1016/j.apal.2003.12.004

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abstract = "The binding group (which we call the automorphism group) theorem for stable theories is partially extended to the simple context. Some results concerning internality are proved. We also introduce a 'small' normal subgroup G0+ of the automorphism group G = Aut(p/Q) and show that if p is Q-internal then it has a finite exponent and G/G0+ is interpretable.",

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AB - The binding group (which we call the automorphism group) theorem for stable theories is partially extended to the simple context. Some results concerning internality are proved. We also introduce a 'small' normal subgroup G0+ of the automorphism group G = Aut(p/Q) and show that if p is Q-internal then it has a finite exponent and G/G0+ is interpretable.

KW - Automorphism group

KW - Controlled

KW - Internal

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Internality and interpretable automorphism groups in simple theories

Abstract

Keywords

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