Title: Cohomology of Uniformly Powerful p-groups.
Authors' names: William Browder and Jonathan Pakianathan
AMS Classifications: Primary 20J06, 17B50 Secondary 17B56
institutions: Princeton University and University of Wisconsin, Madison.
email: browder@math.princeton.edu and pakianat@math.wisc.edu
Abstract:
In this paper, the cohomology of p-central, powerful, p-groups with
a certain extension property are studied. Such groups naturally correspond
to Lie algebras and the paper exploits this relation to
calculate their
Fp-cohomology as a module over the Steenrod algebra. For example, a formula
for the Bockstein based on the structure constants of the Lie algebra
is obtained. Then the first
few terms of the Bockstein spectral sequence are calculated and expressed
in terms
of the corresponding Lie algebra cohomologies. This is then used to
study the integral cohomology of these p-groups.