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

Stephen D. Theriault

Research output: Contribution to journalArticle

3 Citations (Scopus)

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

Cite this

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

In: Journal of Mathematics of Kyoto University, Vol. 47, No. 3, 2007, p. 541-564.

Research output: Contribution to journalArticle

@article{88913b9d03d349a891c70921533bd967,
title = "An upper bound for the 3-primary homotopy exponent of the exceptional Lie group E-7",
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.",
keywords = "H-spaces",
author = "Theriault, {Stephen D.}",
year = "2007",
language = "English",
volume = "47",
pages = "541--564",
journal = "Journal of Mathematics of Kyoto University",
issn = "0023-608X",
publisher = "Kyoto University",
number = "3",

}

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 -