You are not currently logged in.
Access JSTOR through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
AN INVITATION TO MODEL-THEORETIC GALOIS THEORY
ALICE MEDVEDEV and RAMIN TAKLOO-BIGHASH
The Bulletin of Symbolic Logic
Vol. 16, No. 2 (JUNE 2010), pp. 261-269
Published by: Association for Symbolic Logic
Stable URL: http://www.jstor.org/stable/27805178
Page Count: 9
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
We carry out some of Galois' work in the setting of an arbitrary first-order theory T. We replace the ambient algebraically closed field by a large model M of T, replace fields by definably closed subsets of M, assume that T codes finite sets, and obtain the fundamental duality of Galois theory matching subgroups of the Galois group of L over F with intermediate extensions F ≤ K ≤ L. This exposition of a special case of  has the advantage of requiring almost no background beyond familiarity with fields, polynomials, first-order formulae, and automorphisms.
The Bulletin of Symbolic Logic © 2010 Association for Symbolic Logic