Relative endo-trivial modules
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Date
2021.
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Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2021.
Abstract
We 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.