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Z/pr-hyperbolicity via homology

Z/pr-hyperbolicity via homology
Z/pr-hyperbolicity via homology
We show that the homotopy groups of a Moore space Pn(pr), where pr≠2, are Z/ps-hyperbolic for s≤r. Combined with work of Huang-Wu, Neisendorfer, and Theriault, this completely resolves the question of when such a Moore space is Z/ps-hyperbolic for p≥5, or when p=2 and r≥6. We also give a criterion in ordinary homology for a space to be Z/pr-hyperbolic, and deduce some examples.
0021-2172
Boyde, Guy
5c470bc9-cf8d-4481-9674-db1ea2bf7293
Boyde, Guy
5c470bc9-cf8d-4481-9674-db1ea2bf7293

Boyde, Guy (2022) Z/pr-hyperbolicity via homology. Israel Journal of Mathematics. (In Press)

Record type: Article

Abstract

We show that the homotopy groups of a Moore space Pn(pr), where pr≠2, are Z/ps-hyperbolic for s≤r. Combined with work of Huang-Wu, Neisendorfer, and Theriault, this completely resolves the question of when such a Moore space is Z/ps-hyperbolic for p≥5, or when p=2 and r≥6. We also give a criterion in ordinary homology for a space to be Z/pr-hyperbolic, and deduce some examples.

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2106.03516 - Accepted Manuscript
Restricted to Repository staff only until 26 March 2023.
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Accepted/In Press date: 26 January 2022

Identifiers

Local EPrints ID: 455991
URI: http://eprints.soton.ac.uk/id/eprint/455991
ISSN: 0021-2172
PURE UUID: 179a68a2-f537-4800-9a42-2e8639d6d138

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Date deposited: 11 Apr 2022 17:51
Last modified: 31 Jan 2023 17:56

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Author: Guy Boyde

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