On the nilpotency of rational H-spaces

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In [BG], it is proved that the Whitehead length of a space Z is less than or equal to the nilpotency of ΩZ. As for rational spaces, those two invariants are equal. We show this for a 1-connected rational space Z by giving a way to calculate those invariants from a minimal model for Z. This also gives a way to calculate the nilpotency of an homotopy associative rational H-space.

Original languageEnglish
Pages (from-to)1153-1165
Number of pages13
JournalJournal of the Mathematical Society of Japan
Issue number4
Publication statusPublished - Oct 2005
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics


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