An embedding for the $Esb 2$-term of the Adams spectral sequence at odd primes.

Let p be an odd prime. In this paper we introduce a quadratic linear F_p –algebra Q_1 obtained by suitably changing the generators of Q, the homogeneous quadratic algebra of cohomology operations in the category of H_∞–ring spectra, and study the map induced on cohomology by the quotient π :Q_{1} →A_p . $$ Like in the case p = 2, it turns out that the map π is injective. Thus, its target contains the E 2–term of the classical Adams spectral sequence as subalgebra. An explicit description of EXT_{Q_1 } (F_p , F_p) is given under the reasonable assumption on Q to be a Koszul algebra.