### 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 language | English |
---|---|

Pages (from-to) | 569-593 |

Number of pages | 24 |

Journal | Journal of Mathematics of Kyoto University |

Volume | 44 |

Issue number | 3 |

Publication status | Published - 2004 |

### Keywords

- H-SPACES

### Cite this

*Journal of Mathematics of Kyoto University*,

*44*(3), 569-593.

**The 5-primary homotopy exponent of the exceptional Lie group $E\sb 8$.** / Theriault, Stephen D.

Research output: Contribution to journal › Article

*Journal of Mathematics of Kyoto University*, vol. 44, no. 3, pp. 569-593.

}

TY - JOUR

T1 - The 5-primary homotopy exponent of the exceptional Lie group $E\sb 8$

AU - Theriault, Stephen D

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

KW - H-SPACES

M3 - Article

VL - 44

SP - 569

EP - 593

JO - Journal of Mathematics of Kyoto University

JF - Journal of Mathematics of Kyoto University

SN - 0023-608X

IS - 3

ER -