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The singularity obstruction for group splittings

The singularity obstruction for group splittings
The singularity obstruction for group splittings
We study an obstruction to splitting a finitely generated group G as an amalgamated free product or HNN extension over a given subgroup H and show that when the obstruction is "small" G splits over a related subgroup. Applications are given which generalise decomposition theorems from low dimensional topology.
17-31
Niblo, G.A.
43fe9561-c483-4cdf-bee5-0de388b78944
Niblo, G.A.
43fe9561-c483-4cdf-bee5-0de388b78944

Niblo, G.A. (2002) The singularity obstruction for group splittings. Topology and its Applications, 119 (1), 17-31. (doi:10.1016/S0166-8641(01)00059-1).

Record type: Article

Abstract

We study an obstruction to splitting a finitely generated group G as an amalgamated free product or HNN extension over a given subgroup H and show that when the obstruction is "small" G splits over a related subgroup. Applications are given which generalise decomposition theorems from low dimensional topology.

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Published date: 2002

Identifiers

Local EPrints ID: 29818
URI: http://eprints.soton.ac.uk/id/eprint/29818
PURE UUID: 2d1a57b3-1ea4-4538-9ac0-124ceebe0485
ORCID for G.A. Niblo: ORCID iD orcid.org/0000-0003-0648-7027

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Date deposited: 12 May 2006
Last modified: 16 Mar 2024 02:44

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