Moori, Jamshid.Perumal, Pragladan.2013-05-102013-05-1020122012http://hdl.handle.net/10413/8853Thesis (M.Sc.)-University of KwaZulu-Natal, Pietermaritzburg, 2012.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.en-ZAGroup extensions (Mathematics)Group theory.Theses--Mathematics.Thesis