Date of Award
Master of Science - Mathematical Sciences
Mathematics and Statistics
Jane Long, Ph.D.
Clint Richardson, Ph.D.
Brittney Falahola, Ph.D.
Alyx Frantzen, Ph.D.
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.
Willhoite, Logan, "Restrictions on Topological Symmetry Groups of the 3-Rung Möbius Ladder on the Torus" (2023). Electronic Theses and Dissertations. 512.
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Available for download on Tuesday, May 07, 2024
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