Carter Subgroups and Carter's Theorem
Zakiyah Mohammed · OhioLink ETD Center (Ohio Library and Information Network) · 2011
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.iv