WALL GROUPS OF FINITE GROUPS AND $ \Pi$-SIGNATURES OF MANIFOLDS

This article contains the evaluation of the image of the natural homomorphism from the even-dimensional Wall group into the ring of complex representations of a finite group . The computations are carried out for finite groups acting freely and linearly on spheres, by means of a differential-topological interpretation of ; the Atiyah-Singer invariant is utilized as a tool.Bibliography: 8 titles.