Biplanarity of Subgroup Lattices of Finite Abelian Groups
Session Title
Additional Projects
College
College of Arts and Sciences
Department
Mathematics
Abstract
The subgroup lattice of a group G is the graph whose vertices are the subgroups of G and adjacency is determined by direct set containment. Recently a complete characterization has been given for the groups whose subgroup lattice is planar. Shifting gears, we say a graph is biplanar if it is the union of two planar graphs. In this research project we found partial characterizations for finite abelian groups with biplanar subgroup lattices.
Start Date
15-4-2022 12:00 PM
Biplanarity of Subgroup Lattices of Finite Abelian Groups
The subgroup lattice of a group G is the graph whose vertices are the subgroups of G and adjacency is determined by direct set containment. Recently a complete characterization has been given for the groups whose subgroup lattice is planar. Shifting gears, we say a graph is biplanar if it is the union of two planar graphs. In this research project we found partial characterizations for finite abelian groups with biplanar subgroup lattices.
