Groups Without Divisibility Property

Abstract

We conclude the monograph by showing the existence of finite p-groups without Divisibility Property. This is a recent work of González-Sánchez and Jaikin-Zapirain [46]. Uniform pro-p-groups, uniform Zp -Lie algebras, continuous cohomology, and existence of a 41-dimensional Q -Lie algebra with one dimensional center and admitting only inner derivations, are the main tools in this work.