CORRIGENDUM TO “THE HASSE NORM PRINCIPLE FOR ABELIAN EXTENSIONS [AMER. J. MATH. 140 (2018), NO. 6, 1639–1685]”

Christopher Frei; Daniel Loughran; Rachel Newton

doi:10.1353/ajm.2026.a997143

CORRIGENDUM TO “THE HASSE NORM PRINCIPLE FOR ABELIAN EXTENSIONS [AMER. J. MATH. 140 (2018), NO. 6, 1639–1685]”

Christopher Frei
, Daniel Loughran
, Rachel Newton

Institut für Analysis und Zahlentheorie (5010)

Publikation: Beitrag in einer Fachzeitschrift › Diskussion › Begutachtung

Abstract

The proofs of Theorem 1.1 and Theorem 1.5 (2) in the authors’ paper *The Hasse norm principle for abelian extensions* are incorrect. We point out the mistakes and provide correct proofs, using techniques of the original paper.

Originalsprache	englisch
Seiten (von - bis)	1199-1227
Seitenumfang	29
Fachzeitschrift	American Journal of Mathematics
Jahrgang	148
Ausgabenummer	4
DOIs	https://doi.org/10.1353/ajm.2026.a997143
Publikationsstatus	Veröffentlicht - 1 Aug. 2026

Fields of Expertise

Information, Communication & Computing

ASJC Scopus subject areas

Allgemeine Mathematik

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10.1353/ajm.2026.a997143

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The Hasse norm principle for abelian extensions
Frei, C., Loughran, D. & Newton, R., 1 Dez. 2018, in: American Journal of Mathematics. 140, 6, S. 1639-1685 47 S.
Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Dieses zitieren

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abstract = "The proofs of Theorem 1.1 and Theorem 1.5 (2) in the authors{\textquoteright} paper *The Hasse norm principle for abelian extensions* are incorrect. We point out the mistakes and provide correct proofs, using techniques of the original paper.",

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AU - Loughran, Daniel

AU - Newton, Rachel

PY - 2026/8/1

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CORRIGENDUM TO “THE HASSE NORM PRINCIPLE FOR ABELIAN EXTENSIONS [AMER. J. MATH. 140 (2018), NO. 6, 1639–1685]”

Abstract

Fields of Expertise

ASJC Scopus subject areas

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Publikationen

The Hasse norm principle for abelian extensions

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