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An Exposition on Group Characters

2014, Master of Mathematical Sciences, Ohio State University, Mathematics.
This paper is an educational approach to group characters through examples which introduces the beginner algebraist to representations and characters of finite groups. My hope is that this exploration might help the advanced undergraduate student discover some of the foundational tools of Character Theory. The prerequisite material for this paper includes some elementary Abstract and Linear Algebra. The basic groups used in the examples are intended to excited a student into exploration of groups they understand from their undergraduate studies. Throughout the section of examples there are exercises used to check understanding and give the reader opportunity to explore further. After taking a course in Abstract Algebra one might find that groups are not concrete objects. Groups model actions, rotations, reflections, movements, and permutations. Group representations turn these abstract sets of objects into sets of n X n matrices with real or complex entries, which can be easily handled by a computer for any number of calculations.
James Cogdell, Dr. (Advisor)
Warren Sinnott, Dr. (Committee Member)
58 p.

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Margraff, A. (2014). An Exposition on Group Characters . (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Margraff, Aaron . "An Exposition on Group Characters ." Electronic Thesis or Dissertation. Ohio State University, 2014. OhioLINK Electronic Theses and Dissertations Center. 25 Sep 2017.

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Margraff, Aaron "An Exposition on Group Characters ." Electronic Thesis or Dissertation. Ohio State University, 2014. https://etd.ohiolink.edu/

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