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arxiv: 1507.07663 · v1 · pith:FW72RMOAnew · submitted 2015-07-28 · 🧮 math.GR

On the Fitting length of finite soluble groups I

classification 🧮 math.GR
keywords fittinglengthfinitesolubleboundscertainfactorizefunctions
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Let $G$ be a finite soluble group and $h(G)$ its Fitting length. The aim of this paper is to give certain upper bounds for $h(G)$ as functions of the Fitting length of at least three Hall subgroups of $G$ which factorize $G$ in a particular way.

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