Let K/F be an infinite Galois extension, and let N be a normal sub-group of Gal(K/F). Show that N closure is a normal subgroup of Gal(K/F).
Closure of Normal Subgroups of the Galois Group for an Infinite Galois Extension is Normal
1
$\begingroup$
abstract-algebra
group-theory
field-theory
galois-theory
-
0Okay!! I have got it. Thanks, anyway! – 2012-11-06