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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Number fields with solvable Galois groups and small Galois root discriminants
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by John W. Jones and Rachel Wallington PDF
Math. Comp. 81 (2012), 555-567 Request permission

Abstract:

We apply class field theory to compute complete tables of number fields with Galois root discriminant less than $8\pi e^{\gamma }$. This includes all solvable Galois groups which appear in degree less than $10$, groups of order less than $24$, and all dihedral groups $D_p$ where $p$ is prime.
References
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Additional Information
  • John W. Jones
  • Affiliation: School of Mathematical and Statistical Sciences, Arizona State University, P.O. Box 871804, Tempe, Arizona 85287
  • Email: jj@asu.edu
  • Rachel Wallington
  • Affiliation: School of Mathematical and Statistical Sciences, Arizona State University, P.O. Box 871804, Tempe, Arizona 85287
  • Address at time of publication: Faith Christian School, P.O. Box 31300, Mesa, Arizona 85275
  • Email: rwallington@faith-christian.org
  • Received by editor(s): July 24, 2010
  • Received by editor(s) in revised form: December 15, 2010
  • Published electronically: June 3, 2011
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 81 (2012), 555-567
  • MSC (2010): Primary 11R21; Secondary 11R37
  • DOI: https://doi.org/10.1090/S0025-5718-2011-02511-1
  • MathSciNet review: 2833508