Die Struktur der R. Brauerschen Algebrenklassengruppe über einem algebraischen Zahlkörper

  title={Die Struktur der R. Brauerschen Algebrenklassengruppe {\"u}ber einem algebraischen Zahlk{\"o}rper},
  author={Helmut Hasse},
  journal={Mathematische Annalen},
  • H. Hasse
  • Published 1933
  • Mathematics
  • Mathematische Annalen
Harbingers of Artin's Reciprocity Law. I. The Continuing Story of Auxiliary Primes
In this article we present the history of auxiliary primes used in proofs of reciprocity laws from the quadratic to Artin's reciprocity law. We also show that the gap in Legendre's proof can beExpand
Normal Algebraic Number Fields.
  • S. Maclane, O. F. Schilling
  • Mathematics, Medicine
  • Proceedings of the National Academy of Sciences of the United States of America
  • 1940
The theory is an attempt to generalize the results of the classical class field theory to arbitrary normal fields using the theory of p-primary factor sets, that is, factor sets whose elements involve only the divisors of a fixed prime divisor p of k. Expand
A correction to Hasse's version of the Grunwald–Hasse–Wang theorem
While reading Hasse’s paper on the Grunwald theorem [5], I recently discovered a slight error in the statement and proof of two of Hasse’s theorems. These two theorems, the ‘‘SchwacherExpand
A Note on Regular Crossed Products and Galois Representations
A crossed product representing an associative finite dimensional central simple algebra over a field is called regular if all values of the corresponding cocycle are roots of unity. Under a certainExpand
Theory of Class Formations
The Theorem of Shafarevich or, as it is mostly called, the Theorem of Shafarevich-Weil always seemed to me to be the coronation of the cohomological approach to class field theory showing that theExpand
Algorithms for enumerating invariants and extensions of local fields
There are many computationally difficult problems in the study of p-adic fields, among them the classification of field extensions and the decomposition of global ideals. The main goal of this workExpand
Die mathematischen Tagebücher von Helmut Hasse 1923 - 1935
ISBN 978-3-86395-072-9 Le m m er m ey er / R oq ue tte D ie m at he m at is ch en T ag eb uc he r vo n He lm ut H as se 1 92 3 19 3T book contains the full text of the mathematical notebooks ofExpand
Algebraic number theory
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History of Valuation Theory Part I Contents 1. Introduction 2 2. the Beginning 4 2.1. K Urschh Ak 4 2.2. Ostrowski 9 2.2.1. Solving K Urschh Ak's Question 10 2.2.2. Revision: Non-archimedean Valuations 10
The theory of valuations was started in 1912 by the Hungar-ian mathematician Josef K urschh ak who formulated the valuation axioms as we are used today. The main motivation was to provide a solidExpand