  For discrete subsets in ${\bf C}^n$ the notion of being "tame" was defined by
Rosay and Rudin. We propose a general definition of "tameness" for arbitrary
complex manifolds and show that many results classically known for ${\bf C}^n$
may be generalized to semisimple complex Lie groups. For example, every
permutation of $SL(2,{\bf Z})$ extends to a biholomorphic self-map of
$SL(2,{\bf C}$.
