3 papers
math.NT2026
Finite-Dimensional Protori Are Adelic Tori
Wayne Lewis
We show the category of finite-dimensional compact connected abelian groups (finite-dimensional protori) {\it is} the category of {\it adelic tori}, for which there is a complete L…
math.GR2025
Protori and Torsion-Free Abelian Groups
Wayne Lewis
The Resolution Theorem for Compact Abelian Groups is applied to show that the profinite subgroups of a finite-dimensional compact connected abelian group (protorus) which induce to…
math.GR2025
The Lattice of Profinite Subgroups of Protori
Wayne Lewis
Compact connected abelian groups, or protori, have intrinsic structural characteristics that present for the entire category. In the case of finite-dimensional torus-free protori,…