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math.GR2021
The Fitting height is bounded by a function of the exponent
Francesco Fumagalli, Felix Leinen, Orazio Puglisi
Every finite solvable group has a normal series with nilpotent factors. The smallest possible number of factors in such a series is called the Fitting height . In the pre…
math.GR2021
An upper bound for the nonsolvable length of a finite group in terms of its shortest law
Francesco Fumagalli, Felix Leinen, Orazio Puglisi
Every finite group has a normal series each of whose factors is either a solvable group or a direct product of non-abelian simple groups. The minimum number of nonsolvable fact…