Author ORCID Identifier
Date Available
1-5-2023
Year of Publication
2023
Degree Name
Doctor of Philosophy (PhD)
Document Type
Doctoral Dissertation
College
Arts and Sciences
Department/School/Program
Mathematics
First Advisor
Bertrand Guillou
Abstract
We provide the slice (co)towers of \(\Si{V} H_{C_2}\ul M\) for a variety of \(C_2\)-representations \(V\) and \(C_2\)-Mackey functors \(\ul M\). We also determine a characterization of all 2-slices of equivariant spectra over the Klein four-group \(C_2\times C_2\). We then describe all slices of integral suspensions of the equivariant Eilenberg-MacLane spectrum \(H\ulZ\) for the constant Mackey functor over \(C_2\times C_2\). Additionally, we compute the slices and slice spectral sequence of integral suspensions of $H\ulZ$ for the group of equivariance $Q_8$. Along the way, we compute the Mackey functors \(\mpi_{k\rho} H_{K_4}\ulZ\) and $\mpi_{k\rho} H_{Q_8}\ulZ$.
Digital Object Identifier (DOI)
https://doi.org/10.13023/etd.2023.020
Recommended Citation
Slone, Carissa, "Slices of C_2, Klein-4, and Quaternionic Eilenberg-Mac Lane Spectra" (2023). Theses and Dissertations--Mathematics. 94.
https://uknowledge.uky.edu/math_etds/94
