5 papers
Proportion of Simple Subgroups in Finite Groups and Their Applications
João Victor Monteiros de Andrade, Leonardo Santos da Cruz
This work introduces and investigates the function \( \mathcal{V}(G) = \frac{\text{Simp}(G)}{|L(G)|} \), where \( \text{Simp}(G) \) denotes the number of simple subgroups and \( |L…
Finite products in commutative monoids: well-definition, recursion on finite subsets, and why the empty product is
João Victor Monteiros de Andrade, Leonardo Santos da Cruz
The convention "empty product " is ubiquitous in mathematics, but often appears without an explicit structural justification. This note provides a self-contained reference to t…
A note on connecting multiplicative functions defined on finite groups
João Victor Monteiros de Andrade, Leonardo Santos da Cruz
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…
Impact of the Pandemic on Currency Circulation in Brazil: Projections using the SARIMA Model
João Victor Monteiros de Andrade, Leonardo Santos da Cruz
This study analyzes the impact of the COVID-19 pandemic on currency circulation in Brazil by comparing actual data from 2000 to 2023 with counterfactual projections using the \text…
Proportion of Nilpotent Subgroups in Finite Groups and Their Properties
João Victor M. de Andrade, Leonardo Santos da Cruz
This work introduces and investigates the function , where denotes the number of nilpotent subgroups and the total number…