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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 A u t 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.

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