Author Information
     J. L. Alperin
     Mathematics Department
     University of Chicago
     5734 University Avenue
     Chicago, IL 60637


Abstract
     Let X be a P-set for a finite group P; then the augmentation kernel
of the map kX to K is always an endo-permutation module. Properties of
these new endo-permutation modules are studied and an application is
made to determining the rank of the Dade group of endo-trivial modules
of P, which heavily depends on the elementary abelian subgroups of order
p^2 in P, surprisingly.

Status
     Preprint