The Klein quartic is a two-dimensional curve which can be embedded in four-dimensional space which is invariant under the Klein-168 group actions. The snub cube can be augmented to become a combinatorial polyhedral model of the Klein quartic. There is a sextic curve in four dimensions which is invariant under the Valentiner group, which is a group of projective tranformations in the complex projective plane. We will attempt to construct a model for this Valentiner sextic which would be analogous to the snub cube model for the Klein quartic.
|School:||California State University, Long Beach|
|School Location:||United States -- California|
|Source:||MAI 50/01M, Masters Abstracts International|
|Subjects:||Mathematics, Theoretical Mathematics|
Copyright in each Dissertation and Thesis is retained by the author. All Rights Reserved
The supplemental file or files you are about to download were provided to ProQuest by the author as part of a
dissertation or thesis. The supplemental files are provided "AS IS" without warranty. ProQuest is not responsible for the
content, format or impact on the supplemental file(s) on our system. in some cases, the file type may be unknown or
may be a .exe file. We recommend caution as you open such files.
Copyright of the original materials contained in the supplemental file is retained by the author and your access to the
supplemental files is subject to the ProQuest Terms and Conditions of use.
Depending on the size of the file(s) you are downloading, the system may take some time to download them. Please be