Author ORCID Identifier
Date Available
5-4-2024
Year of Publication
2024
Degree Name
Doctor of Philosophy (PhD)
Document Type
Doctoral Dissertation
College
Arts and Sciences
Department/School/Program
Mathematics
First Advisor
Dr. Nathaniel Stapleton
Abstract
Topology furnishes us with many commutative rings associated to finite groups. These include the complex representation ring, the Burnside ring, and the G-equivariant K-theory of a space. Often, these admit additional structure in the form of natural operations on the ring, such as power operations, symmetric powers, and Adams operations. We will discuss two ways of constructing Adams operations. The goal of this work is to understand these in the case of the Burnside ring.
Digital Object Identifier (DOI)
https://doi.org/10.13023/etd.2024.127
Recommended Citation
Dominguez, Lewis, "Adams operations on the Burnside ring from power operations" (2024). Theses and Dissertations--Mathematics. 110.
https://uknowledge.uky.edu/math_etds/110
