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Arnold Scholz: Between Mathematics and Politics

Franz Lemmermeyer

Abstract

This article provides information on the life and work of the number theorist Arnold Scholz. It is an English translation with modifications of an introduction to the correspondence of Hasse, Scholz and Taussky published in 2016.

Arnold Scholz: Between Mathematics and Politics

Abstract

This article provides information on the life and work of the number theorist Arnold Scholz. It is an English translation with modifications of an introduction to the correspondence of Hasse, Scholz and Taussky published in 2016.
Paper Structure (31 sections, 7 theorems, 33 equations, 5 figures)

This paper contains 31 sections, 7 theorems, 33 equations, 5 figures.

Table of Contents

  1. 1927
  2. 1928
  3. 1929
  4. 1930
  5. 1931
  6. 1932
  7. 1933
  8. 1934
  9. 1935
  10. 1936
  11. 1937
  12. 1938
  13. 1939
  14. 1940
  15. 1941
  16. ...and 9 more sections

Key Result

Proposition 1

If $[\varepsilon,{\mathfrak p}]_2 = 1$ for a unit $\varepsilon$ and for all prime ideals ${\mathfrak p}$, then $\pm \varepsilon = \eta^{X-1}$ for some unit $\eta$.

Figures (5)

  • Figure 1: Extension with wreath product $C_4\,\wr\,C_2$
  • Figure 2: Arnold Scholz
  • Figure 3: Arnold Scholz with his nephew Nikola Korrodi
  • Figure 4: Schlotter's Totenkopfring
  • Figure 5: Scholz's group genera

Theorems & Definitions (7)

  • Proposition 1
  • Theorem 1
  • Theorem 2
  • Theorem 3: The Fundamental Knot Sequence
  • Theorem 4: Scholz's Knot Sequence
  • Theorem 5
  • Theorem 6