Even icosahedral Galois representations of prime conductor
| Autor: | Darrin Doud, Michael W. Moore |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Discrete mathematics
11F80 Algebra and Number Theory Mathematics - Number Theory Galois cohomology Fundamental theorem of Galois theory Galois group Splitting of prime ideals in Galois extensions Galois module Combinatorics Normal basis Embedding problem symbols.namesake FOS: Mathematics symbols Number Theory (math.NT) Galois extension Mathematics |
| Zdroj: | Journal of Number Theory. 118:62-70 |
| ISSN: | 0022-314X |
| DOI: | 10.1016/j.jnt.2005.08.008 |
| Popis: | In this paper, we use a series of targeted Hunter searches to prove that the minimal prime conductor of an even icosahedral Galois representation is 1951. In addition, we give a complete list of all prime conductors less than 10,000 of even icosahedral Galois representations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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