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Methodology Carnegie Mellon
 

Summary: Philosophy
Methodology
Logic
Carnegie Mellon
Pittsburgh, Pennsylvania 15213
Dedekind's treatment of Galois theory in the Vorlesungen
Edward T. Dean
December 14, 2009
Technical Report No. CMU-PHIL-184
Dedekind's treatment of Galois
theory in the Vorlesungen
Edward T. Dean
December 14, 2009
Abstract
We present a translation of §§160­166 of Dedekind's Supplement XI
to Dirichlet's Vorlesungen Ļuber Zahlentheorie, which contain an investi-
gation of the subfields of C. In particular, Dedekind explores the lattice
structure of these subfields, by studying isomorphisms between them. He
also indicates how his ideas apply to Galois theory.
After a brief introduction, we summarize the translated excerpt, em-

  

Source: Andrews, Peter B. - Department of Mathematical Sciences, Carnegie Mellon University

 

Collections: Mathematics