Author: Peter Webb
email: webb@math.umn.edu
home page: http://www.math.umn.edu/~webb
Address:
School of Mathematics,
University of Minnesota,
Minneapolis MN 55455
Title:
Two classifications of simple Mackey functors with applications to group
cohomology and the decomposition of classifying spaces
Abstract:
The simple global Mackey functors and inflation functors are classified.
This information is used to provide a new way to deduce the cohomology of
an arbitrary finite group from the cohomology of its p-subgroups, and also
to give a new proof of the main results of Benson-Feshbach and Martino-Priddy
on the stable decomposition of classifying spaces. The method of computing
cohomology has the feature that it simultaneously gives a formula for
all finite groups with a given Sylow p-subgroup.
Journal:
J. Pure Appl. Algebra 88 (1993), 265-304.