Some properties of schemes in groups theory and top couples

DOI10.12988/IJA.2013.13004zbMATH Open1287.20054arXiv1209.0502OpenAlexW2963683284MaRDI QIDQ5400738

Tsemo Aristide

Publication date: 12 March 2014

Published in: International Journal of Algebra (Search for Journal in Brave)

Abstract: Let G be a group, and H a G-group defined by an imbedding map $GightarrowH$; 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.

Full work available at URL: https://arxiv.org/abs/1209.0502

zbMATH Keywords

dimensionsprime idealsGalois theoryscheme theoryfunctors of pointssubgroup topologies

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Algebraic geometry over groups; equations over groups (20F70)

Related Items (1)

A topological property of quasireductive group schemes

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