Modular group algebras of 2–groups of maximal class

Let G be a 2–group of maximal class, that is a dihedral, semidihedral or generalized quaternion 2–group. The elementary solution of the isomorphism problem for group algebras of these groups over fields of characteristic 2 and a description of certain properties of their groups of automorphisms are given ∗Supported by polish scientific grant R.P.I.10. ∗Supported by polish scientific grant R.P.I.10. Notes ∗Supported by polish scientific grant R.P.I.10.