On the definability of radicals in supersimple groups

Milliet, Cedric

On the definability of radicals in supersimple groups

Files

Milliet_266117.pdf(4.61 MB)

Date

2014

Publication type

Journal article

Published in

The Journal of Symbolic Logic ; 78 (2014), 02. - pp. 649-656. - ISSN 0022-4812. - eISSN 1943-5886

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.

Subject (DDC)

510 Mathematics

Keywords

Supersimple group,Fitting subgroup,soluble radical

Cite This

ISO 690

MILLIET, 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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Bibliography of Konstanz

Yes