Hi, could someone please explain the last part from Field norm - Wikipedia, the free encyclopedia: Why it is so expected for principal ideal that ? Thanks in advance.
Follow Math Help Forum on Facebook and Google+
Originally Posted by dmz Hi, could someone please explain the last part from Field norm - Wikipedia, the free encyclopedia: Why it is so expected for principal ideal that ? Thanks in advance. For this you need the machinery from algebraic number theory: as is the cardinality of the ring and this number is, if is a principal ideal, the norm of , then you get the result. Tonio
Yes. I think the result must follow from the definition of field norm, but it's not obvious for me, how. So, seeking for machinery...
View Tag Cloud