Increasing the Size of Tame Shafarevich Groups

Andreea Iorga, Ravi Ramakrishna

Let $K$ be a number field with $S$ a finite set of primes. We study the cohomology of ${\mathbb{F}}_p[G_{K,S}]$-modules $A$, in particular the Shafarevich groups $\Sha^i_S(K,A)$ for…