Pairings of <i>p</i>-Compact Groups and <i>H</i>-Structures on the Classifying Spaces of Finite Loop Spaces

Abstract

We consider the maps between classifying spaces of p-compact groups of the form BX x BY → BZ. The main theorem shows that if the restriction map on BY is a weak epimorphism, then the restriction on BX should factor through the classifying spaces of the center of the p-compact group Z.