  Generalized Reynolds ideals are ideals of the center of a symmetric algebra
over a field of positive characteristic. They have been shown by the second
author to be invariant under derived equivalences. In this paper we determine
the generalized Reynolds ideals of algebras of dihedral and semidihedral type
(as defined by Erdmann), in characteristic 2. In this way we solve some open
problems about scalars occurring in the derived equivalence classification of
these algebras.
