On the definability of radicals in supersimple groups

Milliet, Cedric

On the definability of radicals in supersimple groups

Dateien

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Datum

2014

Publikationstyp

Zeitschriftenartikel

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The Journal of Symbolic Logic. 2014, 78(02), pp. 649-656. ISSN 0022-4812. eISSN 1943-5886. Available under: doi: 10.2178/jsl.7802160

Zusammenfassung

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.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Supersimple group, Fitting subgroup, soluble radical

Zitieren

ISO 690

MILLIET, Cedric, 2014. On the definability of radicals in supersimple groups. In: The Journal of Symbolic Logic. 2014, 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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