The algebra ${\mathbb{Z}}_{\ell }[[{\mathbb{Z}}_p^d]]$ and applications to Iwasawa theory

Andrea Bandini, Ignazio Longhi

Let $\ell$ and $p$ be distinct primes, and let $\G$ be an abelian pro-$p$-group. We study the structure of the algebra $Ł:=\Z_\ell[[\G]]$ and of $Ł$-modules. The algebra $Ł$ turns…