English

On semiabelian p-groups

Group Theory 2011-11-23 v3 Number Theory

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.

Keywords

Cite

@article{arxiv.0908.1472,
  title  = {On semiabelian p-groups},
  author = {Danny Neftin},
  journal= {arXiv preprint arXiv:0908.1472},
  year   = {2011}
}

Comments

10 pages

R2 v1 2026-06-21T13:34:19.995Z