Hochschild cohomology for algebras of dihedral type. IV. The family $D(2\mathcal B)(k,s,0)$

We compute the Hochschild cohomology groups for algebras of dihedral type which are contained in the family $D(2\mathcal B)(k,s,c)$ (from the famous K. Erdmann's classification) in the case where the parameter $c$ included in defining relations of algebras from this family is equal to zero. The calculation relies upon a construction of the bimodule resolution for algebras from the above family.