%0 Journal Article %T Some properties of schemes in groups theory and top couples %A Tsemo Aristide %J International Journal of Algebra %D 2013 %I %X Let G be a group, and H a G-group defined by an imbedding mapG ¡ú H; in [12] we have defined a topology on a subset of normal subgroupsof H, the so-called prime ideals. In this work, we generalize thistopology to other classes of groups. We hope that such topologies definenew effective tools to tackle well-known problems in groups theory. Westudy properties of the topology defined in [12], for example we definethe notions of functor of points, dimension and outline a Galois theory. %U http://www.m-hikari.com/ija/ija-2013/ija-1-4-2013/tsemoIJA1-4-2013.pdf