Master of Science in Mathematics, Youngstown State University, 2011, Department of Mathematics and Statistics

In 1961 Roger W. Carter proved a theorem about solvable groups similar to Sylow's theorem. He proved that if a group is solvable then it always contains a nilpotent, self-normalizing subgroup called a Carter subgroup, and that all such subgroups are conjugate to each other by an element of the group. The objective of this thesis is to present a proof of Carter's theorem.

Committee: Neil Flowers PhD (Advisor); Thomas Wakefield PhD (Committee Member); Eric Wingler PhD (Committee Member) Subjects: Mathematics