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Corpus ID: 239016861

The Fitting height is bounded by a function of the exponent

@inproceedings{Fumagalli2021TheFH,
title={The Fitting height is bounded by a function of the exponent},
author={Francesco Fumagalli and Felix Leinen and Orazio Puglisi},
year={2021}
}

Every finite solvable group G has a normal series with nilpotent factors. The smallest possible number of factors in such a series is called the Fitting height h(G). In the present paper, we derive an upper bound for h(G) in terms of the exponent of G. Our bound constitutes a considerable improvement of an earlier bound obtained in [3]. MSC2020: 20D10, 20F14, 20F16.

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