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 G_p of the family of semiabelian p-groups. We show that G_p is in fact the entire family of semiabelian p-groups and by this complete their solution to all semiabelian p-groups.

10 pages