Hilbert Theorem 90
The original statement of Hilbert’s Theorem 90 differs somewhat from the modern formulation given above, and is nowadays regarded as a corollary of the above fact. In its original form, Hilbert’s Theorem 90 says that if is cyclic with generator , then an element has norm 1 if and only if
for some . Note that elements of the form are obviously contained within the kernel of the norm map; it is the converse that forms the content of the theorem.
|Title||Hilbert Theorem 90|
|Date of creation||2013-03-22 12:10:41|
|Last modified on||2013-03-22 12:10:41|
|Last modified by||djao (24)|
|Synonym||Hilbert’s Theorem 90|