Dissertation/Thesis Abstract

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.

Indexing (document details)
Advisor: Crass, Scot
School: California State University, Long Beach
School Location: United States -- California
Source: MAI 50/01M, Masters Abstracts International
Subjects: Mathematics, Theoretical Mathematics
Publication Number: 1499263
ISBN: 978-1-124-85749-7
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