Abstract
The Thorn spectra M(n) (2 k ≤ n ≤ 2 k+1 − 1) induced from Ω(SU(n)/SO(n)) →BO is a wedge of suspensions of Mahowald’s X k spectra that is induced from ΩJ 2 −1 S 2 → Ω 2 S 3 →BO, where J i is the ith stage of the James construction. © 1992 American Mathematical Society.