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

Counting the number of homotopy associative multiplications on certain H-spaces
Counting the number of homotopy associative multiplications on certain H-spaces
We determine an upper bound for the number of homotopy associative multiplications on certain H -spaces. This is applied to SU(3)SU(3) and Sp(2)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.
137-149
Kaji, Shizuo
00d68ad1-e588-44bd-b4b1-004c81c62120
Sakai, Micihiro
2c04a4e4-cf7f-4f14-875d-0f004c10fa57
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Kaji, Shizuo
00d68ad1-e588-44bd-b4b1-004c81c62120
Sakai, Micihiro
2c04a4e4-cf7f-4f14-875d-0f004c10fa57
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80

Kaji, Shizuo, Sakai, Micihiro and Theriault, Stephen (2016) Counting the number of homotopy associative multiplications on certain H-spaces. Topology and its Applications, 214, 137-149. (doi:10.1016/j.topol.2016.10.008).

Record type: Article

Abstract

We determine an upper bound for the number of homotopy associative multiplications on certain H -spaces. This is applied to SU(3)SU(3) and Sp(2)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.

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Counting_assoc_mults_July2016.pdf - Accepted Manuscript
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More information

Accepted/In Press date: 19 October 2016
e-pub ahead of print date: 24 October 2016
Published date: 1 December 2016
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 403048
URI: http://eprints.soton.ac.uk/id/eprint/403048
PURE UUID: e3db2f6a-9ac9-4c7e-a1fd-8e2dafac751b
ORCID for Stephen Theriault: ORCID iD orcid.org/0000-0002-7729-5527

Catalogue record

Date deposited: 22 Nov 2016 16:16
Last modified: 15 Mar 2024 06:05

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Contributors

Author: Shizuo Kaji
Author: Micihiro Sakai

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