Finite Abelian Groups with Toroidal Subgroup Lattices
Combinatorics
2024-06-21 v1 Group Theory
Abstract
In this paper, we determine the genus of the subgroup lattice of several families of abelian groups. In doing so, we classify all finite abelian groups whose subgroup lattices can be embedded into the torus.
Keywords
Cite
@article{arxiv.2406.13202,
title = {Finite Abelian Groups with Toroidal Subgroup Lattices},
author = {Richard A. Moy},
journal= {arXiv preprint arXiv:2406.13202},
year = {2024}
}