M.S. (Master of Science)
Department of Mathematical Sciences
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.
Alshehri, Faizah Ali, "Frobenius groups" (2017). Graduate Research Theses & Dissertations. 3200.
Northern Illinois University
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