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arXiv · 1311.4314

On the Fitting height of soluble groups admitting a coprime factorisation

Carlo Casolo·Enrico Jabara·Pablo Spiga
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Abstract

In this paper we are concerned with finite soluble groups $G$ admitting a factorisation $G=AB$, with $A$ and $B$ proper subgroups having coprime order. We are interested in bounding the Fitting height of $G$ in terms of some group-invariants of $A$ and $B$: including the Fitting heights and the derived lengths.

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Carlo Casolo, Enrico Jabara, Pablo Spiga. 2013-11-18. On the Fitting height of soluble groups admitting a coprime factorisation. https://arxiv.org/abs/1311.4314

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