3-Class field towers of exact length 3
Autor: | Daniel C. Mayer, Michael R. Bush |
---|---|
Rok vydání: | 2015 |
Předmět: | |
Zdroj: | Journal of Number Theory. 147:766-777 |
ISSN: | 0022-314X |
Popis: | The p-group generation algorithm is used to verify that the Hilbert 3-class field tower has length 3 for certain imaginary quadratic fields K with 3-class group Cl 3 ( K ) ≅ [ 3 , 3 ] . Our results provide the first examples of finite p-class towers of length >2 for an odd prime p. |
Databáze: | OpenAIRE |
Externí odkaz: |