Some properties of schemes in group theory and Top couples
  Let G be a group, and H a G-group defined by an imbedding map $G\rightarrow H$; in [12] we have defined a topology on a subset of normal subgroups of $H$, the so-called prime ideals. In this work, we generalize this topology to other classes of groups.   We hope that such topologies define new effective tools to tackle well-known problems in groups theory.   We study properties of the topology defined in [12], for example we define the notions of functor of points, dimension and outline a Galois theory. 
Aristide Tsemo
math.AG math.GR