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.
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.
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