On the structure of stable groups
type: Item
instance of: scholarly article
title: On the structure of stable groups
zbMATH Open document ID: 0897.03038
DOI: 10.1016/S0168-0072(97)00004-3
author: F. O. Wagner
published in: Annals of Pure and Applied Logic
publication date: 1998-01-26T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 03C60
Mathematics Subject Classification ID: 20A15
Mathematics Subject Classification ID: 03C45
zbMATH DE Number: 1109918
zbMATH Keywords: survey
zbMATH Keywords: stable groups
zbMATH Keywords: chain condition
zbMATH Keywords: generic types
zbMATH Keywords: generic formulae
zbMATH Keywords: rank
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1109918