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Sections of Angles and nth Roots of Numbers

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Ukrainian Mathematical Journal Aims and scope

Abstract

It is known since Galois that an algebraic equation can be solved using suitable nth roots whenever the corresponding Galois group is soluble. The object of this note is to construct real numbers with the use of the nth parts of suitable angles and to state necessary and sufficient conditions for this to be possible.

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REFERENCES

  1. B. van der Waerden, Algebra I, 4 th Edition, Berlin (1955).

  2. H. Wielandt, “Eine Verallgemeinerung der invarianten Untergruppen,” Math. Z., 45, 209–244 (1939).

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  3. H. Heineken, “Ruler, compass, and trisector,” Ist. Lombardo (Rend. Sci.), A134, 87–98 (2000).

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Authors and Affiliations

  1. Mathematical Institute, University Am Hubland, Würzbung, Germany

    H. Heineken

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  1. H. Heineken
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Heineken, H. Sections of Angles and nth Roots of Numbers. Ukrainian Mathematical Journal 54, 1212–1217 (2002). https://doi.org/10.1023/A:1022034913703

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  • DOI: https://doi.org/10.1023/A:1022034913703

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