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Capitulation in abelian extensions of number fields

Volume 179 / 2017

Robert J. Bond Acta Arithmetica 179 (2017), 201-232 MSC: Primary 11R37; Secondary 11R34. DOI: 10.4064/aa7857-4-2017 Published online: 14 June 2017

Abstract

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 $L$.

Authors

  • Robert J. Bond53 Philbrick Rd.
    Newton, MA 02459, U.S.A.
    e-mail

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