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A polyhedral model of the Valentiner group actions on a curve in the complex projective plane
by Johnson, Laura M., M.S., California State University, Long Beach, 2011, 40; 1499263
Abstract (Summary)
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.
| Advisor: | Crass, Scot |
| Commitee: | |
| School: | California State University, Long Beach |
| School Location: | United States -- California |
| Source: | MAI 50/01M, Masters Abstracts International |
| Source Type: | DISSERTATION |
| Subjects: | Mathematics, Theoretical Mathematics |
| Keywords: | |
| Publication Number: | 1499263 |
| ISBN: | 978-1-124-85749-7 |
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