The 5-primary homotopy exponent of the exceptional Lie group $E\sb 8$

Stephen D Theriault

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Abstract

We construct a new homotopy fibration at the prime 5, involving E-8 and Harper's rank two finite mod-5 H-space. We then use this to show that the 5-primary homotopy exponent of E-8 is bounded above by 5(31), which is at most one power of 5 from being optimal.

Original languageEnglish
Pages (from-to)569-593
Number of pages24
JournalJournal of Mathematics of Kyoto University
Volume44
Issue number3
Publication statusPublished - 2004

Keywords

  • H-SPACES

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