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

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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.

Original languageEnglish
Pages (from-to)73-85
Number of pages13
JournalTopology and its Applications
Volume125
Issue number1
DOIs
StatePublished - 30 Oct 2002

Bibliographical note

Funding Information:
E-mail address: hsl@mm.ewha.ac.kr (H.-S. Lee). 1The author was supported by KOSEF 97-0701-02-01-5 and Brain Korea 21 Project.

Keywords

  • Classifying spaces
  • Compact Lie groups
  • Stable splittings

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