Geodesic
Capitulation in abelian extensions of number fields
Robert J. Bond1
1 53 Philbrick Rd. Newton, MA 02459, U.S.A.
Acta Arithmetica, Tome 179 (2017) no. 3, pp. 201-232.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This paper studies the kernel and cokernel of the map $j:\mathit{Cl}_K \to \mathit{Cl}_L$ 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 $L$.
DOI : 10.4064/aa7857-4-2017
Keywords: paper studies kernel cokernel map mathit mathit where abelian extension number field nbsp mathit mathit their respective ideal class groups induced lifting ideals nbsp

Robert J. Bond 1

1 53 Philbrick Rd. Newton, MA 02459, U.S.A. 
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Robert J. Bond. Capitulation in abelian extensions of number fields. Acta Arithmetica, Tome 179 (2017) no. 3, pp. 201-232. doi : 10.4064/aa7857-4-2017. http://geodesic.mathdoc.fr/articles/10.4064/aa7857-4-2017/

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