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arXiv · 1209.0502

Some properties of schemes in group theory and Top couples

Aristide Tsemo
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Abstract

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.

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Aristide Tsemo. 2012-09-03. Some properties of schemes in group theory and Top couples. https://arxiv.org/abs/1209.0502

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