Stable splittings of classifying spaces of 2-toral compact Lie groups

Abstract

Let G be a compact Lie group and H be a p-toral subgroup of G. In this paper, we give a necessary and sufficient condition for a summand originating BHp̂ to be a summand of BGp̂ and also give the corresponding multiplicity for the compact Lie group G which is not even p-Roquette. © 2001 Elsevier Science B.V. All rights reserved.