On semiabelian p-groups

Abstract

The family of semiabelian p-groups is the minimal family that contains 1 and is closed under quotients and semidirect products with finite abelian p-groups. Kisilevsky and Sonn have solved the minimal ramification problem for a certain subfamily Gp of the family of semiabelian p-groups. We show that Gp is in fact the entire family of semiabelian p-groups and by this complete their solution to all semiabelian p-groups.

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