Homological Algebra for Polynomial Mackey Rings over Prime Cyclic Groups

dc.contributor.advisor	Dugger, Daniel
dc.contributor.author	Casebolt, Ross
dc.date.accessioned	2022-10-26T15:27:00Z
dc.date.available	2022-10-26T15:27:00Z
dc.date.issued	2022-10-26
dc.description.abstract	Let $C_l$ denote the cyclic group of prime order $l$ and let $k$ be a field. We define a Mackey $\underline{k}$-algebra $\underline{k}[x_\theta]$ which is constructed by adjoining a free commutative variable to the free side of the constant Mackey functor $\underline{k}$. When $char(k)$ is relatively prime to $l$ we show that there is a an equivalence of categories between $\underline{k}[x_\theta]-\underline{Mod}$ and the category of modules over a certain twisted group ring. We calculate the free side of a certain Ext object $\underline{Ext}_{\underline{k}[x_\theta]}^*(\underline{k}, \underline{k})$ in the two cases when $char(k)$ is relatively prime to $l$ and when $char(k) = l = 2$.	en_US
dc.identifier.uri	https://hdl.handle.net/1794/27749
dc.language.iso	en_US
dc.publisher	University of Oregon
dc.rights	All Rights Reserved.
dc.title	Homological Algebra for Polynomial Mackey Rings over Prime Cyclic Groups
dc.type	Electronic Thesis or Dissertation
thesis.degree.discipline	Department of Mathematics
thesis.degree.grantor	University of Oregon
thesis.degree.level	doctoral
thesis.degree.name	Ph.D.

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