Capitulation in abelian extensions of number fields
Tom 179 / 2017
Acta Arithmetica 179 (2017), 201-232
MSC: Primary 11R37; Secondary 11R34.
DOI: 10.4064/aa7857-4-2017
Opublikowany online: 14 June 2017
Streszczenie
This paper studies the kernel and cokernel of the map where L is an abelian extension of a number field K, \mathit{Cl}_L and \mathit{Cl}_K are their respective ideal class groups and j is induced by the lifting of ideals from K to L.