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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