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Tsukuba Journal of Mathematics
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Tsukuba Journal of Mathematics
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On the Groups with Homogeneous Theory

On the groups with homogeneous theory
Authors: Kikyo, Hirotaka;

On the Groups with Homogeneous Theory

Abstract

If \(2\leq m m\), and the above conjecture would imply Handa's result without the `abelian \(p\)-group' assumption. The author proves the conjecture for \(\omega\)-categorical theories, stable theories, o-minimal theories, and also shows that if \((M,\cdot)\) has simple theory then its theory is not \((2,3)\)-homogeneous.

Keywords

Models with special properties (saturated, rigid, etc.), o-minimal theories, interpretable group, \(\omega\)-categorical theories, Model-theoretic algebra, stable theories, homogeneous structure, homogeneous theories

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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Average
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hybrid