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Journal Articles Bulletin of the London Mathematical Society Year : 2016

A Fitting Theorem for Simple Theories

Abstract

The Fitting subgroup of a type-definable group in a simple theory is relatively definable and nilpotent. Moreover, the Fitting subgroup of a supersimple hyperdefinable group has a normal hyperdefinable nilpotent subgroup of bounded index, and is itself of bounded index in a hyperdefinable subgroup.
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Dates and versions

hal-01073018 , version 1 (08-10-2014)
hal-01073018 , version 2 (23-09-2015)
hal-01073018 , version 3 (28-09-2015)

Licence

Attribution - NonCommercial - NoDerivatives - CC BY 4.0

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Cite

Daniel Palacin, Frank Olaf Wagner. A Fitting Theorem for Simple Theories. Bulletin of the London Mathematical Society, 2016. ⟨hal-01073018v3⟩
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