A Stong-Hattori Spectral Sequence

Let <!-- MATH ${G_ \ast }(\;)$ --> be the Adams summand of connective K-theory localized at the prime p. Let <!-- MATH $B{P_\ast}(\;)$ --> be Brown-Peterson homology for that prime. A spectral sequence is constructed with term determined by <!-- MATH ${G_ \ast }(X)$ --> and whose <!-- MATH ${E^\infty }$ --> terms give the quotients of a filtration of <!-- MATH $B{P_ \ast }(X)$ --> where X is a connected spectrum. A torsion property of the differentials implies the Stong-Hattori theorem.