Publikation: On the definability of radicals in supersimple groups
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2014
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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.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Supersimple group, Fitting subgroup, soluble radical
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undefined / . - undefined, undefined
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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.7802160BibTex
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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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<dcterms:abstract xml:lang="eng">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.</dcterms:abstract>
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