An upper bound for the 3-primary homotopy exponent of the exceptional Lie group E-7

Stephen D. Theriault

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Abstract

A new homotopy fibration is constructed at the prime 3 which shows that the quotient group E-7/F-4 is spherically resolved. This is then used to show that the 3-primary homotopy exponent of E-7 is bounded above by 3(23), which is at most four powers of 3 from being optimal.

Original languageEnglish
Pages (from-to)541-564
Number of pages24
JournalJournal of Mathematics of Kyoto University
Volume47
Issue number3
Publication statusPublished - 2007

Keywords

  • H-spaces

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