On the radicals of a group that does not have the independence property

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Milliet_0-393134.pdf
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2016
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The Journal of Symbolic Logic. 2016, 81(4), pp. 1444-1450. ISSN 0022-4812. eISSN 1943-5886. Available under: doi: 10.1017/jsl.2015.56
Zusammenfassung

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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510 Mathematik
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ISO 690MILLIET, Cedric, 2016. On the radicals of a group that does not have the independence property. In: The Journal of Symbolic Logic. 2016, 81(4), pp. 1444-1450. ISSN 0022-4812. eISSN 1943-5886. Available under: doi: 10.1017/jsl.2015.56
BibTex
@article{Milliet2016radic-37246,
  year={2016},
  doi={10.1017/jsl.2015.56},
  title={On the radicals of a group that does not have the independence property},
  number={4},
  volume={81},
  issn={0022-4812},
  journal={The Journal of Symbolic Logic},
  pages={1444--1450},
  author={Milliet, Cedric}
}
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