The third homotopy module of a 2-complex
The third homotopy module of a 2-complex
Given a connected 2-complex X with fundamental group G, we show how ?3(X) may be computed as a module over Z[G]. Further, if X is a finite connected 2-complex with G(= ?1(X))
finite of odd order, then the stable class of ?3(X) is determined by G. In this case ?3(X) \otimes Q is free over Q[G]
664-674
Mannan, W.H.
226de07d-b065-4816-958f-23c1bde53069
August 2008
Mannan, W.H.
226de07d-b065-4816-958f-23c1bde53069
Mannan, W.H.
(2008)
The third homotopy module of a 2-complex.
Bulletin of the London Mathematical Society, 40 (4), .
(doi:10.1112/blms/bdn047).
Abstract
Given a connected 2-complex X with fundamental group G, we show how ?3(X) may be computed as a module over Z[G]. Further, if X is a finite connected 2-complex with G(= ?1(X))
finite of odd order, then the stable class of ?3(X) is determined by G. In this case ?3(X) \otimes Q is free over Q[G]
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Published date: August 2008
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Local EPrints ID: 69187
URI: http://eprints.soton.ac.uk/id/eprint/69187
ISSN: 0024-6093
PURE UUID: 301355f4-8762-453d-a189-407c398c9b78
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Date deposited: 23 Oct 2009
Last modified: 13 Mar 2024 19:28
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Author:
W.H. Mannan
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