The Planarity of Hasse Lattices of Finite Groups
Date of Graduation
Spring 2004
Degree
Master of Science in Mathematics
Department
Mathematics
Committee Chair
Les Reid
Abstract
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.
Keywords
planarity, Hasse lattices, group theory, Kuratowski's theorem, finite groups, genus
Subject Categories
Mathematics
Copyright
© Joseph P. Bohanon
Recommended Citation
Bohanon, Joseph P., "The Planarity of Hasse Lattices of Finite Groups" (2004). MSU Graduate Theses/Dissertations. 1613.
https://bearworks.missouristate.edu/theses/1613
Dissertation/Thesis
