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Theses and Dissertations

This collection contains theses and dissertations of graduate students of the University of Alberta. The collection contains a very large number of theses electronically available that were granted from 1947 to 2009, 90% of theses granted from 2009-2014, and 100% of theses granted from April 2014 to the present (as long as the theses are not under temporary embargo by agreement with the Faculty of Graduate and Postdoctoral Studies). IMPORTANT NOTE: To conduct a comprehensive search of all UofA theses granted and in University of Alberta Libraries collections, search the library catalogue at www.library.ualberta.ca - you may search by Author, Title, Keyword, or search by Department.
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Subject: Characters Departments: Department of Mathematical and Statistical Sciences

  • Characters of 2 x 2 Unitary Matrix Groups Over Quadratic Ring Extensions

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    Fall 2019

    Campbell, John

    In the Journal of Algebra 323(2010) R. Barrington Leigh et al. derive the characters of the group of invertible 2 x 2 matrices over the integers modulo a power of an odd prime. We will generalize to certain local rings, and take quadratic extensions of this ring , by adjoining the root of a...

  • Irreducible Characters of GL(n, Z/p^l Z)

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    Fall 2011

    Wen, Qianglong

    We first find all the irreducible complex characters of the general linear group GL(2, Z/p^l Z) over the ring Z/p^l Z, where l is an integer >1 and p is an odd prime, and determine all the character values. Our methods rely on Clifford Theory and can be modified easily to get all the irreducible...

  • Irreducible Characters of SL(k,Z/p^nZ)

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    Fall 2009

    Pasanen, Trevor

    In this paper we find irreducible characters of G=SL(k,Z/p^nZ) where n >= 2, k=2,3 and, p is an odd prime. In the case k=2 we give a construction for every irreducible character of G without calculating the character values. Our method is based on finding a normal subgroup of G and applying...

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