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

Pages (from-to) | 541-564 |

Number of pages | 24 |

Journal | Journal of Mathematics of Kyoto University |

Volume | 47 |

Issue number | 3 |

Publication status | Published - 2007 |

### Keywords

- H-spaces

### Cite this

*Journal of Mathematics of Kyoto University*,

*47*(3), 541-564.

**An upper bound for the 3-primary homotopy exponent of the exceptional Lie group E-7.** / Theriault, Stephen D.

Research output: Contribution to journal › Article

*Journal of Mathematics of Kyoto University*, vol. 47, no. 3, pp. 541-564.

}

TY - JOUR

T1 - An upper bound for the 3-primary homotopy exponent of the exceptional Lie group E-7

AU - Theriault, Stephen D.

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

KW - H-spaces

M3 - Article

VL - 47

SP - 541

EP - 564

JO - Journal of Mathematics of Kyoto University

JF - Journal of Mathematics of Kyoto University

SN - 0023-608X

IS - 3

ER -