Richard Thompson'ın grubu F'nin cebirsel özellikleri ve kriptografideki uygulamaları

Thompson's groups F,T and V, especially F, are widely studied groups in group theory. With their unique properties, they appear and become counterexamples for many general problems in different areas of mathematics. Developments in science and technology raise the importance of security for transmission and storage of private information, which can be provided by secure cryptosystems. In this thesis, we investigate algebraic properties of the Thompson's group F and its applications to cryptography.