The secondary Ext groups of the secondary cohomology of the fibers F_n, F_{nZ}, and F are determined as direct sums of F2, polynomial algebras on h0, and suspended copies of F2 in specific bidegrees.
Milnor, The Steenrod algebra and its dual
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Secondary Ext of the Fiber of $Sq^n$ and the Secondary Adams Spectral Sequence
The secondary Ext groups of the secondary cohomology of the fibers F_n, F_{nZ}, and F are determined as direct sums of F2, polynomial algebras on h0, and suspended copies of F2 in specific bidegrees.