Publication Date

2017

Document Type

Dissertation/Thesis

First Advisor

Stephen, Joseph

Degree Name

M.S. (Master of Science)

Legacy Department

Department of Mathematical Sciences

LCSH

Applied mathematics; Mathematics

Abstract

We discuss the nature of Frobenius groups. We consider group representations, Schur's Lemma, and group characters. We define irreducible representations and prove Maschke's Theorem. We examine induced representations and Frobenius reciprocity. Using these results and other basic notions from character theory, we show that a Frobenius group has a Frobenius kernel. We then obtain several equivalent characterizations of Frobenius groups.

Comments

Advisors: Joseph Stephen.||Committee members: Deepak Naidu; Jeffrey Thunder.||Includes bibliographical references.

Extent

22 pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

Media Type

Text

Download

Share

COinS