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Fitting series

32 bytes added, 14:58, 11 September 2011
Definition
The fastest possible descending Fitting series for a [[finite solvable group]] is the [[lower Fitting series]], defined by iterating the [[nilpotent residual]]. For infinite solvable groups, there may or may not be a fastest possible descending Fitting series.
The fastest possible ascending Fitting series for a [[finite solvable group]] is the [[upper Fitting series]].
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