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UC Riverside Electronic Theses and Dissertations (2021)

We introduce a category FI$_{G, A}$ which depends upon a group $G$ and a representation $A$ of $G$. We establish Noetherian and homological properties of FI$_{G, A}$-modules. We also study the representation stability of FIM-modules.

    Cover page: Representations of Some Categories of FI Type
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