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Generalized Reynolds ideals are ideals of the center of a symmetric algebraover a field of positive characteristic. They have been shown by the secondauthor to be invariant under derived equivalences. In this paper we determinethe generalized Reynolds ideals of algebras of dihedral and semidihedral type(as defined by Erdmann), in characteristic 2. In this way we solve some openproblems about scalars occurring in the derived equivalence classification ofthese algebras.

Generalized Reynolds ideals and derived equivalences for algebras of dihedral and semidihedral type