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Permanent link (DOI): https://doi.org/10.7939/R38G8FR7T

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The Irreducible Characters of 2 x 2 Unitary Matrix Groups Over Finite Fields Open Access

Descriptions

Other title
Subject/Keyword
group representations
finite fields
finite groups
Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
Campbell, John J.
Supervisor and department
Cliff, Gerald (Mathematics)
Examining committee member and department
Guay, Nicolas (Mathematics)
McNeilly, David (Mathematics)
Lau, Tony (Mathematics)
Department
Department of Mathematical and Statistical Sciences
Specialization
Mathematics
Date accepted
2014-10-02T13:43:38Z
Graduation date
2014-11
Degree
Master of Science
Degree level
Master's
Abstract
In this work we will construct the table of irreducible characters for the group of unitary 2 x 2 matrices over a finite field. The table and the methods for its construction will show interesting connections to the table and methods of construction of the table of irreducible characters for the general linear group.
Language
English
DOI
doi:10.7939/R38G8FR7T
Rights
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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