Greenberg's conjecture and the Iwasawa polynomial
Greenberg's conjecture and the Iwasawa polynomial
of rational numbers and $p$ a fixed prime number.A Galois extension $K$ of $k$ is called a $Z_{p}$ -extension when the Galois group $Ga1(K/k)$ is topologically isomorphic to the additive group $Z_{p}$ of $P$ -adic integers.Let $K$ be a $Z_{p}$ -extension of $k,$ $k_{n}\subset K$ the unique cyclic exten- sion …