twotaileddemon
Nov27-10, 09:21 PM
Hilbert's Satz 90 states that,
“for a finite cyclic field extension K/F with Galois group (S):
An element b є K has norm 1 (with respect to the extension K/F) iff b = S(c)/c for some c є K*.
Can someone please explain this to me in simpler terms? I'm not sure what he means by norm 1 or S(c)/c.
“for a finite cyclic field extension K/F with Galois group (S):
An element b є K has norm 1 (with respect to the extension K/F) iff b = S(c)/c for some c є K*.
Can someone please explain this to me in simpler terms? I'm not sure what he means by norm 1 or S(c)/c.