A note on connecting multiplicative functions defined on finite groups

Fuente: arXiv
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Autori principali: de Andrade, João Victor Monteiros, da Cruz, Leonardo Santos
Natura: Preprint
Pubblicazione: 2025
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author de Andrade, João Victor Monteiros
da Cruz, Leonardo Santos
author_facet de Andrade, João Victor Monteiros
da Cruz, Leonardo Santos
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_09166
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A note on connecting multiplicative functions defined on finite groups
de Andrade, João Victor Monteiros
da Cruz, Leonardo Santos
Group Theory
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.
title A note on connecting multiplicative functions defined on finite groups
topic Group Theory
url https://arxiv.org/abs/2509.09166