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Strongly Real Conjugacy Classes of the Finite Unitary Group
Gates, Zach
Gates, Zach
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.
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Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.
Date
2012-07-13
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Keywords
Mathematics, Algebra, Group Theory, Conjugacy class, Classical groups
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Department
Mathematics