Subject: question for listserv
Date: Thu, 11 Sep 2003 10:19:59 -0700
From: Jim Lin
Consider the two stage Postnikov system E obtained by killing off all
Steenrod operations on a K(Z_p,n) for p an odd prime. Thus, we consider the
maps defined by the Bockstein, and all relevant P^p^i . We take the fibre
E of all these maps.
Is it possible to identify the degrees of the algebra generators over the
Steenrod algebra of the mod p cohomology of E?
In my case, I am particularly interested in the case when
n=1+p+p^2+....+p^k. I would like to know when there is an algebra
generator over the Steenrod algebra in degree 1+p+p^2+...+p^m+p^(m+1) for
m greater than or equal to k.
The Massey Peterson theory tells me these generators restrict to the
fibre, but that is all I know.