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