On a p-local stable splitting of Stiefel manifolds

Abstract

H. Miller introduced a filtration of Stiefel manifolds which splits stably and proved that the starata of the filtration are vector bundles, so that Stiefel manifolds are stably equivalent to a wedge of the corresponding Thom spaces. In this paper, we shall give a finer $p$-local stable splitting of the Stiefel manifolds by using the Adams operations.