Counting the number of homotopy associative multiplications on certain H-spaces

Shizuo Kaji, Michihiro Sakai, Stephen Theriault

Research output: Contribution to journalArticle

Abstract

We determine an upper bound for the number of homotopy associative multiplications on certain H-spaces. This is applied to SU(3) and Sp(2) at odd primes, and to give examples of p-local H-spaces with more than one multiplication but a unique homotopy associative multiplication.

Original languageEnglish
Pages (from-to)137-149
Number of pages13
JournalTopology and its Applications
Volume214
DOIs
Publication statusPublished - Dec 1 2016

Fingerprint

H-space
Homotopy
Counting
Multiplication
Odd
Upper bound

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Cite this

Counting the number of homotopy associative multiplications on certain H-spaces. / Kaji, Shizuo; Sakai, Michihiro; Theriault, Stephen.

In: Topology and its Applications, Vol. 214, 01.12.2016, p. 137-149.

Research output: Contribution to journalArticle

Kaji, Shizuo ; Sakai, Michihiro ; Theriault, Stephen. / Counting the number of homotopy associative multiplications on certain H-spaces. In: Topology and its Applications. 2016 ; Vol. 214. pp. 137-149.
@article{cdc0d43b3e5e4abcb4775584c0b45e5d,
title = "Counting the number of homotopy associative multiplications on certain H-spaces",
abstract = "We determine an upper bound for the number of homotopy associative multiplications on certain H-spaces. This is applied to SU(3) and Sp(2) at odd primes, and to give examples of p-local H-spaces with more than one multiplication but a unique homotopy associative multiplication.",
author = "Shizuo Kaji and Michihiro Sakai and Stephen Theriault",
year = "2016",
month = "12",
day = "1",
doi = "10.1016/j.topol.2016.10.008",
language = "English",
volume = "214",
pages = "137--149",
journal = "Topology and its Applications",
issn = "0166-8641",
publisher = "Elsevier",

}

TY - JOUR

T1 - Counting the number of homotopy associative multiplications on certain H-spaces

AU - Kaji, Shizuo

AU - Sakai, Michihiro

AU - Theriault, Stephen

PY - 2016/12/1

Y1 - 2016/12/1

N2 - We determine an upper bound for the number of homotopy associative multiplications on certain H-spaces. This is applied to SU(3) and Sp(2) at odd primes, and to give examples of p-local H-spaces with more than one multiplication but a unique homotopy associative multiplication.

AB - We determine an upper bound for the number of homotopy associative multiplications on certain H-spaces. This is applied to SU(3) and Sp(2) at odd primes, and to give examples of p-local H-spaces with more than one multiplication but a unique homotopy associative multiplication.

UR - http://www.scopus.com/inward/record.url?scp=84994013704&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84994013704&partnerID=8YFLogxK

U2 - 10.1016/j.topol.2016.10.008

DO - 10.1016/j.topol.2016.10.008

M3 - Article

VL - 214

SP - 137

EP - 149

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

ER -