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
2002
Niblo, G.A.
43fe9561-c483-4cdf-bee5-0de388b78944
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
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Local EPrints ID: 29818
URI: http://eprints.soton.ac.uk/id/eprint/29818
PURE UUID: 2d1a57b3-1ea4-4538-9ac0-124ceebe0485
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Date deposited: 12 May 2006
Last modified: 16 Mar 2024 02:44
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