Rank p ? 1 mod-p H-spaces
Rank p ? 1 mod-p H-spaces
Different constructions by Cooke, Harper and Zabrodsky and by Cohen and Neisendorfer produce torsion free finite p-local H-spaces of rank l < p ? 1. The first construction goes through when l = p ? 1 and we show the second does as well. However, the space produced need not be an H-space. We give a criterion for when an H-space is obtained. In the special case of rank 2 mod-3 H-spaces, we also give a practical test for when the criterion holds, and use this to give many new examples of finite H-spaces.
641-688
Grbić, Jelena
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Harper, John
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Mimura, Mamoru
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Theriault, Stephen
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Wu, Jie
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2012
Grbić, Jelena
daaea124-d4cc-4818-803a-2b0cb4362175
Harper, John
d16fe340-b3e8-4b4f-980b-c908cce6e968
Mimura, Mamoru
6bd3cb00-e31b-475d-bd2a-ebcc41513f7b
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Wu, Jie
541b9f29-928c-4fbd-9697-2f567d76feb6
Grbić, Jelena, Harper, John, Mimura, Mamoru, Theriault, Stephen and Wu, Jie
(2012)
Rank p ? 1 mod-p H-spaces.
Israel Journal of Mathematics, 194 (2), .
(doi:10.1007/s11856-012-0085-1).
Abstract
Different constructions by Cooke, Harper and Zabrodsky and by Cohen and Neisendorfer produce torsion free finite p-local H-spaces of rank l < p ? 1. The first construction goes through when l = p ? 1 and we show the second does as well. However, the space produced need not be an H-space. We give a criterion for when an H-space is obtained. In the special case of rank 2 mod-3 H-spaces, we also give a practical test for when the criterion holds, and use this to give many new examples of finite H-spaces.
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Published date: 2012
Organisations:
Pure Mathematics
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Local EPrints ID: 341243
URI: http://eprints.soton.ac.uk/id/eprint/341243
ISSN: 0021-2172
PURE UUID: 07023e06-35f7-4877-882e-6b5ffe6fb17d
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Date deposited: 18 Jul 2012 12:54
Last modified: 15 Mar 2024 03:45
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Author:
John Harper
Author:
Mamoru Mimura
Author:
Jie Wu
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