Publication Date
Spring 2024
Degree Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
Advisor
Edgar Bering IV; Marion Campisi; Yan Zhang
Abstract
One of the most prominently studied groups in geometric group theory is the outer automorphism group of the free group Out(F). The sphere complex provides a topological model for Out(F). We demonstrate the chromatic number of the sphere complex is finite.
Recommended Citation
Haffner, Bennett, "On the Colorability of the Sphere Complex" (2024). Master's Theses. 5504.
DOI: https://doi.org/10.31979/etd.2tn6-a536
https://scholarworks.sjsu.edu/etd_theses/5504
