The aim of this text is to provide a concise treatment of some
topics from group theory and representation theory for a one term
course. It focuses on the non-commutative side of the field
emphasizing the general linear group as the most important group
and example. The book should enable graduate students from every
mathematical field, as well as strong undergraduates with an
interest in algebra, to solidify their knowledge of group theory.
The reader should have a familiarity with groups, rings and fields,
along with a solid knowledge of linear algebra. Close to 200
exercises of varying difficulty serve both to reinforce the main
concept of the text and to expose the reader to additional topics.
General
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