The Frobenius group is an example of a split extension. In this dissertation we study and describe
the properties and structure of the group. We also describe the properties and structure of the
kernel and complement, two non-trivial subgroups of every Frobenius group. Examples of Frobenius
groups are included and we also describe the characters of the group. Finally we construct the
Frobenius group 292 : SL(2, 5) and then compute it's Fischer matrices and character table. / Thesis (M.Sc.)-University of KwaZulu-Natal, Pietermaritzburg, 2012.
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