Abstract :
The concept of lifting is well known from Schurʹs theory of projective representations of finite groups (Schur, 1904). In cohomological terms it means that for a given finite group G there is a central group extension E of G, a so-called lifting group of G, such that every 2-dimensional central cocycle class on G belongs to the kernel of the inflation map from G to E. The purpose of this paper is to extend this concept to higher-dimensional cocycles and to prove some results about the corresponding lifting groups.
