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Tag: Field (mathematics)

  • Algebraic number fields can realize inflated G-extensions

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    What the study found The authors show that, under the stated condition, algebraic number fields can be constructed with degree larger than the size of the automorphism group that fixes the base field. A special case given in the abstract says that if the Inverse Galois problem for Q has a solution for a finite…

  • Fourier bounds for Kakeya sets in finite fields

    Fourier bounds for Kakeya sets in finite fields

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    What the study found The study shows that a Kakeya set in a finite field vector space supports a probability measure with a bounded Fourier transform at every non-zero frequency. The authors also report that this bound is sharp in all dimensions at least 2. What the authors say this matters The authors state that…