On semiabelian p-groups

JOURNAL OF ALGEBRA

卷:344

Article

Neftin, Danny

关键词: Minimal ramification problem;    Algebraic number theory;    Semiabelian groups;    Wreath products;    Group ranks;   

DOI  :  10.1016/j.jalgebra.2011.07.016

来源: Elsevier

【 摘 要 】

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. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free