The Lubin-Tate Formal Module in a Cyclic Unramified P-Extension as a Galois Module.

In the paper, the structure of the $$ \mathcal{O} $$ [G]-module F( $$ \mathfrak{m} $$ ) is described, where M/L, L/K, and K/ℚ are finite Galois extensions (p is a fixed prime number), G = Gal(M/L), $$ \mathfrak{m} $$ is a maximal ideal of the ring of integers $$ \mathcal{O} $$ , and F is a Lubin-Tate formal group law over the ring $$ \mathcal{O} $$ for a fixed uniformizer π. [ABSTRACT FROM AUTHOR]