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2004 The 5-primary homotopy exponent of the exceptional Lie group $E_8$
Stephen D. Theriault
J. Math. Kyoto Univ. 44(3): 569-593 (2004). DOI: 10.1215/kjm/1250283084

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.

Citation

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Stephen D. Theriault. "The 5-primary homotopy exponent of the exceptional Lie group $E_8$." J. Math. Kyoto Univ. 44 (3) 569 - 593, 2004. https://doi.org/10.1215/kjm/1250283084

Information

Published: 2004
First available in Project Euclid: 14 August 2009

zbMATH: 1088.55011
MathSciNet: MR2103783
Digital Object Identifier: 10.1215/kjm/1250283084

Subjects:
Primary: 55Q52

Rights: Copyright © 2004 Kyoto University

Vol.44 • No. 3 • 2004
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