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18.45 (2014)

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Let $G$ be a finite $p$-group of maximal class such that all its irreducible characters are induced from linear characters of normal subgroups. Let $S$ be the set of the derived subgroups of the members of the central series of $G$. Is there a logarithmic bound for the derived length of $G$ in terms of $|S|$?

Contributor: T. M. Keller

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