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Infinite families of
higher torsion in the homotopy groups of Moore spaces
Steven Amelotte, Frederick R Cohen and Yuxin Luo |
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Algebraic & Geometric Topology 23 (2023) 2389–2414
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Abstract |
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We give a refinement of the stable Snaith splitting of the double loop space of a Moore space and use it to construct infinite periodic families of elements of order in the homotopy groups of mod Moore spaces. For odd primes , our splitting implies that the homotopy groups of the mod Moore spectrum are summands of the unstable homotopy groups of each mod Moore space. |
Keywords
Moore space, unstable homotopy, Bockstein spectral
sequence, periodic homotopy groups
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Mathematical Subject Classification
Primary: 55P35, 55P42, 55Q51, 55Q52
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References |
Publication
Received: 24 November 2021
Revised: 26 February 2022
Accepted: 6 March 2022
Published: 25 July 2023
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Authors |
| Steven Amelotte | |
| Department of Mathematics Western University London, ON Canada |
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| Frederick R Cohen | |
| Department of Mathematics University of Rochester Rochester, NY United States |
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| Yuxin Luo | |
| Department of Mathematics University of Rochester Rochester, NY United States |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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