by Holm, Thorsten, Zimmermann, Alexander.
Series: 2007-10, Preprints
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.
Algebras of dihedral and semidihedral type; Blocks of finite groups; Tame representation type; Derived equivalences; Generalized Reynolds ideals