On loop spaces without p torsion. II

Richard Michael Kane

Vol. 71 (1977), No. 1, 71–88

DOI: 10.2140/pjm.1977.71.71

Abstract

Let (X,μ) be a 1-connected H-space such that H^∗(ΩX;Q_p) is torsion free. We study the torsion in H^∗(X;Q_p) as well as its algebra structure. In particular we characterize lack of torsion in H^∗(ΩX;Q_p) in terms of the module of indecomposables Q(H^∗(X;Q_p)). We also study the Steenrod module structure of Q(H^∗(X;Z_p)).

Mathematical Subject Classification

Primary: 55D45, 55D45

Milestones

Received: 22 December 1975

Published: 1 July 1977