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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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. 
@article{10_4064_aa7857_4_2017,
     author = {Robert J. Bond},
     title = {Capitulation in abelian extensions of number fields},
     journal = {Acta Arithmetica},
     pages = {201--232},
     year = {2017},
     volume = {179},
     number = {3},
     doi = {10.4064/aa7857-4-2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa7857-4-2017/}
}
TY  - JOUR
AU  - Robert J. Bond
TI  - Capitulation in abelian extensions of number fields
JO  - Acta Arithmetica
PY  - 2017
SP  - 201
EP  - 232
VL  - 179
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa7857-4-2017/
DO  - 10.4064/aa7857-4-2017
LA  - en
ID  - 10_4064_aa7857_4_2017
ER  - 
%0 Journal Article
%A Robert J. Bond
%T Capitulation in abelian extensions of number fields
%J Acta Arithmetica
%D 2017
%P 201-232
%V 179
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/aa7857-4-2017/
%R 10.4064/aa7857-4-2017
%G en
%F 10_4064_aa7857_4_2017
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

Cité par Sources :