Restrictions on Topological Symmetry Groups of the 3-Rung Möbius Ladder on the Torus

<p>In this work, we discuss properties of the 3-rung Möbius ladder embedded on the surface of a torus. We present proofs on restrictions of topological symmetry groups of the Möbius ladder with and without the assumption of preserving orientation. Specifically, we show that Z₂ is the only possible non-trivial orientation-preserving topological symmetry groups, and also that Z₂ and D₂ are the only possible nontrivial topological symmetry groups.</p>

Name thesis:degree_name

Master of Science - Mathematical Sciences

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Mathematics and Statistics

Year dc:date.available

2023

Author dc:creator

• Willhoite, Logan

Contributors dc:contributor

• Jane Long, Ph.D.
• Clint Richardson, Ph.D.
• Brittney Falahola, Ph.D.

• topology
• möbius ladder
• symmetry groups
• torus
• embeddings
• stereochemistry
• Algebra
• Geometry and Topology

Repository record dc:identifier

https://scholarworks.sfasu.edu/etds/512

OAI identifier oai:identifier

oai:scholarworks.sfasu.edu:etds-1542