Invariance results for definable extensions of groups (Q627428)
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scientific article; zbMATH DE number 5859281
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariance results for definable extensions of groups |
scientific article; zbMATH DE number 5859281 |
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Invariance results for definable extensions of groups (English)
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2 March 2011
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Let \(G\) be a group definable in some o-minimal expansion of an ordered group, \(H\) be a definable finite extension of \(G\). It is shown that, if \(G\) is defined in a reduct, then \(H\) is also definable in the reduct. A similar result is obtained for finite topological extensions of a definable group defined in some o-minimal expansion of the ordered set of real numbers.
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o-minimal structure
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definable group
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finite extension
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