Title: First Hochschild cohomology group and stable equivalence classification of Morita type of some tame symmetric algebras,
Abstract: We use the dimension and the Lie algebra structure of the first Hochschild
cohomology group to distinguish some algebras of dihedral, semi-dihedral and
quaternion type up to stable equivalence of Morita type. In particular, we
complete the classification of algebras of dihedral type that was mostly
determined by Zhou and Zimmermann.