Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


On the Northcott property and local degrees
HTML articles powered by AMS MathViewer

by S. Checcoli and A. Fehm PDF
Proc. Amer. Math. Soc. 149 (2021), 2403-2414 Request permission


We construct infinite Galois extensions $L$ of $\mathbb {Q}$ that satisfy the Northcott property on elements of small height, and where this property can be deduced solely from the local behavior of $L$ at the different prime numbers. We also give examples of Galois extensions of $\mathbb {Q}$ which have finite local degree at all prime numbers and do not satisfy the Northcott property.
Similar Articles
Additional Information
  • S. Checcoli
  • Affiliation: Institut Fourier, Université Grenoble Alpes, 100 rue des Mathématiques, 38610 Gières, France
  • MR Author ID: 924817
  • Email:
  • A. Fehm
  • Affiliation: Institut für Algebra, Fakultät Mathematik, Technische Universität Dresden, 01062 Dresden, Germany
  • MR Author ID: 887431
  • ORCID: 0000-0002-2170-9110
  • Email:
  • Received by editor(s): June 9, 2020
  • Received by editor(s) in revised form: September 30, 2020, and October 26, 2020
  • Published electronically: March 26, 2021
  • Additional Notes: The first author’s work was funded by the ANR project Gardio 14-CE25-0015
    The second author was funded by the Deutsche Forschungsgemeinschaft (DFG) - 404427454
  • Communicated by: Romyar T. Sharifi
  • © Copyright 2021 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 149 (2021), 2403-2414
  • MSC (2020): Primary 11G50, 12E30, 11R04, 12F05
  • DOI:
  • MathSciNet review: 4246793