2 papers
math.GR2026
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…
math.RA2026
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…