Girolamo Cotimbo

Modular Grids and Lattices of Cyclic Subgroups: Arithmetic Fibers Associated with GCD and LCM

This work introduces a finite modular-grid framework for encoding pairs and finite families of subgroups of a cyclic group. Let Cm=⟨R⟩ be the cyclic group of order m. To each point of (Z/mZ)2, we associate cyclic subgroups determined by the corresponding residue classes. Their ge...