Date Thesis Awarded
7-2012
Access Type
Honors Thesis -- Access Restricted On-Campus Only
Degree Name
Bachelors of Science (BS)
Department
Mathematics
Advisor
C. Ryan Vinroot
Committee Members
Wouter Deconinck
Gexin Yu
Abstract
In this paper we examine the real and strongly real conjugacy classes of the finite unitary group. We describe the conjugacy classes in terms of elementary divisors, and we first provide a reduction to simple cases of elementary divisors. We then provide nearly a full description of the strongly real conjugacy classes for the unitary group over an odd characteristic finite field. Lastly, we state some results on the strongly real conjugacy classes of the finite symplectic group obtained from its embedding in the finite unitary group.
Recommended Citation
Gates, Zach, "Strongly Real Conjugacy Classes of the Finite Unitary Group" (2012). Undergraduate Honors Theses. William & Mary. Paper 497.
https://scholarworks.wm.edu/honorstheses/497
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.
Comments
Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.