The Planarity of Hasse Lattices of Finite Groups
Date of Graduation
Master of Science in Mathematics
planarity, Hasse lattices, group theory, Kuratowski's theorem, finite groups, genus
This thesis fully analyzes a statement in Dummit and Foote's Abstract Algebra that almost no subgroup lattices can be drawn in the plane without edges crossing. We shall prove this result true and fully enumerate all finite groups or families of finite groups that have planar subgroup lattices.
© Joseph P. Bohanon
Bohanon, Joseph P., "The Planarity of Hasse Lattices of Finite Groups" (2004). MSU Graduate Theses. 1613.