Equations over valued groups
Group Theory
2025-08-13 v2 Logic
Rings and Algebras
Abstract
We study groups, exponential groups and ordered groups equipped with valuations. We investigate algebraic and topological features of such valued structures, and apply our findings in order to solve regular equations over groups using simple valuation theoretic arguments.
Cite
@article{arxiv.2409.14854,
title = {Equations over valued groups},
author = {Vincent Bagayoko},
journal= {arXiv preprint arXiv:2409.14854},
year = {2025}
}
Comments
34 pages