Journal article:
On the definability of radicals in supersimple groups

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2014
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Abstract
If G is a group with supersimple theory having finite SU-rank, the subgroup of G generated by all of its normal nilpotent subgroups is definable and nilpotent. This answers a question asked by Elwes, Jaligot, Macpherson and Ryten. If H is any group with supersimple theory, the subgroup of H generated by all of its normal solvable subgroups is definable and solvable.
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Subject (DDC)
510 Mathematics
Keywords
Supersimple group , Fitting subgroup , soluble radical
Published in
The Journal of Symbolic Logic ; 78 (2014), 02. - pp. 649-656. - ISSN 0022-4812. - eISSN 1943-5886
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Cite This
ISO 690MILLIET, Cedric, 2014. On the definability of radicals in supersimple groups. In: The Journal of Symbolic Logic. 78(02), pp. 649-656. ISSN 0022-4812. eISSN 1943-5886. Available under: doi: 10.2178/jsl.7802160
BibTex
@article{Milliet2014defin-26611,
  year={2014},
  doi={10.2178/jsl.7802160},
  title={On the definability of radicals in supersimple groups},
  number={02},
  volume={78},
  issn={0022-4812},
  journal={The Journal of Symbolic Logic},
  pages={649--656},
  author={Milliet, Cedric}
}
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