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Galois realizability of groups of order 64

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Central European Journal of Mathematics

Abstract

This article examines the realizability of groups of order 64 as Galois groups over arbitrary fields. Specifically, we provide necessary and sufficient conditions for the realizability of 134 of the 200 noncyclic groups of order 64 that are not direct products of smaller groups.

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Authors and Affiliations

  1. Bryn Mawr College, Bryn Mawr, PA, 19010, USA

    Helen G. Grundman

  2. University of Cincinnati, Cincinnati, OH, 45221, USA

    Tara L. Smith

Authors
  1. Helen G. Grundman
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  2. Tara L. Smith
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Correspondence to Helen G. Grundman.

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Grundman, H.G., Smith, T.L. Galois realizability of groups of order 64. centr.eur.j.math. 8, 846–854 (2010). https://doi.org/10.2478/s11533-010-0052-1

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  • DOI: https://doi.org/10.2478/s11533-010-0052-1

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