A note on connecting multiplicative functions defined on finite groups
Group Theory
2025-09-12 v1
Abstract
In the present work we explore relationships between multiplicative functions defined in \cite{Garonzi_2018}, \cite{Lazorec}. To do so, we use other important quotients defined and studied in \cite{ndeg}, \cite{Marius}, thus establishing deeper connections that were previously little or not evaluated in some group families. Furthermore, we extract new characterizations and asymptotic patterns for some classes of groups.
Cite
@article{arxiv.2509.09166,
title = {A note on connecting multiplicative functions defined on finite groups},
author = {João Victor Monteiros de Andrade and Leonardo Santos da Cruz},
journal= {arXiv preprint arXiv:2509.09166},
year = {2025}
}