Graduate Program in Mathematics.Coşkun, Olcay.Budak, Doğa Ulaş.2023-03-162023-03-162021.MATH 2021 B83https://digitalarchive.library.bogazici.edu.tr/handle/123456789/15321We first develop the necessary tools from the theory of G-algebras and endomorphism rings. Then the basic results of Green's theory of vertices and sources for kG-modules is given. Building on these, we retrace the steps of Lassueur and introduce the group of relative endo-trivial modules, which gives a generalization of the Dade group. Lastly, we introduce a related group in terms of a specific type of algebras. We describe the Jacobson radical of such algebras.30 cm.Group algebras.Finite groups.Modules (Algebra)vii, 34 leaves ;