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Article Dans Une Revue The Journal of Symbolic Logic Année : 2016

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

Résumé

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.
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Dates et versions

hal-01256813 , version 1 (15-01-2016)

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Cédric Milliet. ON THE RADICALS OF A GROUP THAT DOES NOT HAVE THE INDEPENDENCE PROPERTY. The Journal of Symbolic Logic, 2016, 81 (4), pp.1444-1450. ⟨10.1017/jsl.2015.56⟩. ⟨hal-01256813⟩
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