3 papers
math.GR2024
Topologically simple infinite matrix groups indexed by ordered sets
João V. P. e Silva
This article focuses on the study of the group of units of incidence rings, which is a class of infinite matrix groups indexed by ordered sets, on a topological perspective. We fir…
math.GR2023
Elementary totally disconnected, locally compact groups of higher complexity
João V. P. e Silva
The article focuses on a class of second countable groups assembled from profinite and discrete by elementary operations. We focus on a rank associated with these groups that measu…
math.GR2023
Topological incidence rings and the incidence functors
João V. P. e Silva
We focus on working on incidence rings, a class of (possibly infinite) matrix rings indexed by ordered sets. Some general properties about them are given, including how they are al…