JP Journal of Algebra, Number Theory and Applications
Volume 4, Issue 1, Pages 103 - 112
(April 2004)
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ON SOME TOPOLOGICAL REPRESENTATIONS OF THE ABSOLUTE GALOIS GROUP
Angel Popescu (Romania)
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Abstract: Let
be the
absolute Galois group of
and C be a compact subset of
the complex number field. A continuous
surjective mapping
is called a Galois function of G on
C. Such a function is special if
implies
for any In
this note we describe all the Galois functions
of G on a fixed compact C and we
give the complete structure of the special
Galois functions and of their corresponding
compacts C. |
Keywords and phrases: Galois groups, number
fields, continuous functions on Galois groups. |
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