A Fitting Theorem for Simple Theories
classification
🧮 math.LO
math.GR
keywords
subgroupfittinghyperdefinableboundedgroupindexnilpotentsimple
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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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