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Su una congettura di J.R. Durbin e M. McDonald

Gabriella Corsi Tani — 1980

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

In this Note it is proved that a finite $p$ -grou $G$ , which is not abelian of type $(2,2)$ , has a c.c.s. (characteristic cyclic series) if and only if $Aut\,G$ is supersoluble. It follows that a supersoluble group can occur as automorphism group of a finite $p$ -group (nonabelian of type $(2,2)$ ) only if strictly $p$ -closed.

The Birkhoff-Neumann Embedding of Relatively Free Groups

Rolf Brandl; Gabriella Corsi Tani; Luigi Serena — 2006

Rendiconti del Seminario Matematico della Università di Padova

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