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Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups

Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups
Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups
We show that for an oriented 4-dimensional Poincar\'e complex with finite fundamental group, whose 2-Sylow subgroup is abelian with at most 2 generators, the homotopy type is determined by its quadratic 2-type.
0305-0041
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Powell, Mark
4aaeb063-734c-4136-9da8-fb2ade23d744
Ruppik, Benjamin
7c72a101-68f7-4cd7-8eab-7f1a417fcc19
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Powell, Mark
4aaeb063-734c-4136-9da8-fb2ade23d744
Ruppik, Benjamin
7c72a101-68f7-4cd7-8eab-7f1a417fcc19

Kasprowski, Daniel, Powell, Mark and Ruppik, Benjamin (2024) Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups. Mathematical Proceedings of the Cambridge Philosophical Society. (doi:10.1017/S0305004124000227).

Record type: Article

Abstract

We show that for an oriented 4-dimensional Poincar\'e complex with finite fundamental group, whose 2-Sylow subgroup is abelian with at most 2 generators, the homotopy type is determined by its quadratic 2-type.

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More information

Accepted/In Press date: 14 May 2024
e-pub ahead of print date: 8 November 2024

Identifiers

Local EPrints ID: 478543
URI: http://eprints.soton.ac.uk/id/eprint/478543
ISSN: 0305-0041
PURE UUID: a5c71575-9162-4e80-bbef-9e01bb54ddfe
ORCID for Daniel Kasprowski: ORCID iD orcid.org/0000-0001-5926-2206

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Date deposited: 04 Jul 2023 17:48
Last modified: 09 Nov 2024 03:09

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Contributors

Author: Daniel Kasprowski ORCID iD
Author: Mark Powell
Author: Benjamin Ruppik

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