The connective KO-theory of the Eilenberg-MacLane space K(Z2,2), I: the E2 page
Abstract
We compute the E2 page of the Adams spectral sequence converging to the connective KO-theory of the second mod 2 Eilenberg-MacLane space, ko*(K(Z/2,2)). This required a careful analysis of the structure of H*(K(Z/2,2);Z2) as a module over the subalgebra of the Steenrod algebra generated by Sq1 and Sq2. Complete analysis of the spectral sequence will be performed in a subsequent paper.
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