Mod $p$ Galois representations of solvable image
Abstract.
It is proved that, for a number field $K$ and
a prime number $p$, there exist only
finitely many isomorphism classes of
continuous semisimple Galois representations of $K$
into $\GL_d(\Fpbar)$
of fixed dimension $d$ and bounded Artin conductor outside $p$
which have solvable images.
Some auxiliary results are also proved.
DVI and
PDF files are here.