Thesis Title

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

Keywords

planarity, Hasse lattices, group theory, Kuratowski's theorem, finite groups, genus

Subject Categories

Mathematics

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.

Copyright

© Joseph P. Bohanon

Citation-only

Dissertation/Thesis

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