On the structure of stable groups (Q1377637)
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scientific article; zbMATH DE number 1109918
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the structure of stable groups |
scientific article; zbMATH DE number 1109918 |
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On the structure of stable groups (English)
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26 January 1998
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The reviewed paper is a survey of results about properties of stable groups. These are classified into three main categories: 1. chain condition, i.e. the fact that in a stable group any chain of intersections of subgroups which are given by a formula \(\varphi(x,\overline a)\) with varying parameter \(\overline a\) must have finite length, bounded by a number depending only on the formula \(\varphi\); 2) the existence of generic types and generic formulae; 3) some form of rank.
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survey
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stable groups
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chain condition
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generic types
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generic formulae
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rank
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