Sammendrag
Let G be a finite p-group. The problem whether (the isomorphism class of) G is determined by its group algebra over the field of p elements (the modular group algebra) is usually referred to as the modular isomorphism problem.
We consider how cohomological invariants determined by the modular group algebra can be used to shed some new light on this problem. In particular, we give a new class of finite p-groups which can be distinguished using the modular group algebra.