Title of article
A descending chain condition for groups definable in -minimal structures
Author/Authors
Berarducci، نويسنده , , Alessandro and Otero، نويسنده , , Margarita and Peterzil، نويسنده , , Yaa’cov and Pillay، نويسنده , , Anand، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
11
From page
303
To page
313
Abstract
We prove that if G is a group definable in a saturated o -minimal structure, then G has no infinite descending chain of type-definable subgroups of bounded index. Equivalently, G has a smallest (necessarily normal) type-definable subgroup G 00 of bounded index and G / G 00 equipped with the “logic topology” is a compact Lie group. These results give partial answers to some conjectures of the fourth author.
Keywords
o -minimality , Compact groups , Type-definable subgroups , Descending chain conditions
Journal title
Annals of Pure and Applied Logic
Serial Year
2005
Journal title
Annals of Pure and Applied Logic
Record number
1443658
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