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ON THE RADICALS OF A GROUP THAT DOES NOT HAVE THE INDEPENDENCE PROPERTY

Published online by Cambridge University Press:  12 August 2016

CÉDRIC MILLIET
CÉDRIC MILLIET*
Affiliation:
UNIVERSITÄT KONSTANZ FACHBEREICH MATEMATIK UND STATISTIK 78457 KONSTANZ, GERMANY PÔLE DE MATHÉMATIQUES DE L’INSA DE LYON BÂTIMENT LÉONARD DE VINCI – 21 AVENUE JEAN CAPELLE 69621 VILLEURBANNE, FRANCE E-mail: cedric.milliet@insa-lyon.fr
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Abstract

We give an example of a pure group that does not have the independence property, whose Fitting subgroup is neither nilpotent nor definable and whose soluble radical is neither soluble nor definable. This answers a question asked by E. Jaligot in May 2013.

Keywords

Model theoryindependence propertyFitting subgroup and soluble radicalultraproducts
Type
Articles
Information
The Journal of Symbolic Logic , Volume 81 , Issue 4 , December 2016 , pp. 1444 - 1450
Copyright
Copyright © The Association for Symbolic Logic 2016 

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References

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