Arnold Scholz: Between Mathematics and Politics

2026/02/14 by Franz Lemmermeyer · 2 voices
Mathematics · #math.HO #math.NT

paper · pdf

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.

Citations

• Principalization algorithm via class group structure
• 3-class field towers of exact length 3
• The Multinorm Principle For Linearly Disjoint Galois Extensions
• Construction of maximal unramified p-extensions with prescribed Galois groups
• Computation of Galois groups associated to the 2-class towers of some quadratic fields
• Imaginary quadratic fields k with Cl₂(k) = (2,2^m) and Rank Cl₂(k¹) = 2
• Der Briefwechsel Hasse - Scholz - Taussky

Discussions

• As far as I have been able to determine, the theorem is not stated in a published paper of Scholz himself; the attribution comes through the Hasse–Scholz correspondence and subsequent historical accou [stackexchange, 2 points]
• Franz Lemmermeyer: Arnold Scholz: Between Mathematics and Politics https://arxiv.org/abs/2602.13705 https://arxiv.org/pdf/2602.13705 https://arxiv.org/html/2602.13705 [bsky, 0 points, 0 comments]