Abstract
As part of algebraic number theory, Galois theory deals with greatest common divisors (gcd’s, also called ideals) and their conjugates (Stark 1992). One studies how the automorphisms of a field K change a gcd, or a number, to a conjugate. The set of ‘prime gcd’s’ of K may be viewed as a topological space, as is now classical in algebraic geometry. Without going into this, we mention it to motivate the fact that Galois theory may have a meaning in a topological context. And it does indeed, in the context of coverings.
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References
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© 1992 Springer-Verlag Berlin Heidelberg
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Reyssat, E. (1992). Galois Theory for Coverings and Riemann Surfaces. In: Waldschmidt, M., Moussa, P., Luck, JM., Itzykson, C. (eds) From Number Theory to Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02838-4_7
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DOI: https://doi.org/10.1007/978-3-662-02838-4_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08097-5
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