# On the unstable Adams spectral sequence of SO and U, and splittings of
unstable Ext groups

## A.K. Bousfield and Donald M. Davis

To appear in Bol Soc Mat Mex. Last updated in 1993.
### Abstract

We construct algebraic spectral sequences which are conjectured to agree
with the unstable Adams spectral sequences for the infinite unitary and special
orthogonal groups U and SO. A closely related conjecture is that the
unstable Ext groups of H^*(\Sigma CP^\infty) and H^*(RP^\infty) split as
direct sums of the unstable Ext groups for their subquotients consisting
of classes whose degrees have a fixed number of 1's in their binary expansions.
To view the paper, click here.