Algebras of dihedral, semidihedral, and quaternion type were introduced by
K. Erdmann as a generalization of blocks of finite groups of tame represent
ation type. In a series of papers Erdmann gave a description of the Morita
equivalence classes of these algebras. The aim of the present article is to
present a classification of algebras of dihedral, semidihedral, and quater
nion type up to derived equivalence. As an application we can show that all
basic algebras in Erdmann's list are actually of tame representation type.
(C) 1999 Academic Press.