  If $K/\mathbb Q$ is a finite Galois extension with an almost monomial Galois
group and if
  $s_0\in\mathbb C\setminus\{1\}$ is not a common zero for any two Artin
L-functions associated to distinct complex irreducible characters of the Galois
group then all Artin L-functions of $K/\mathbb Q$ are holomorphic at $s_0$. We
present examples and basic properties of almost monomial groups.
