Beyond the hit problem: Minimal presentations of odd-primary Steenrod
modules, with application to CP(infinity) and BU.
David J. Pengelley
New Mexico State University Las Cruces, NM 88003
davidp@nmsu.edu
Frank Williams
New Mexico State University
Las Cruces, NM 88003
frank@nmsu.edu
Primary 55R40; Secondary 55R45, 55S05, 55S10
We describe a minimal unstable module presentation over the Steenrod
algebra for the odd-primary cohomology of infinite-dimensional complex
projective space and apply it to obtain a minimal algebra presentation
for the cohomology of the classifying space of the infinite unitary
group. We also show that there is a unique Steenrod module structure on
any unstable cyclic module that has dimension one in each complex degree
(half the topological degree) with a fixed alpha-number (sum of
`digits') and is zero in other degrees.