3 papers
math.GR2022
Lee metrics on groups
Ricardo A. Podestá, Maximiliano G. Vides
In this work we consider interval metrics on groups; that is, integral invariant metrics whose associated weight functions do not have gaps. We give conditions for a group to have…
math.CO2021
Invariant metrics on finite groups
Ricardo A. Podestá, Maximiliano G. Vides
We study invariant and bi-invariant metrics on groups focusing on finite groups . We show that non-equivalent (bi) invariant metrics on are in 1-1 correspondence with unitar…
math.CO2020
Isometries between finite groups
Ricardo A. Podestá, Maximiliano G. Vides
We prove that if is a subgroup of index of any cyclic group , then can be isometrically embedded in , thus generalizing previous results of Carl…