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).
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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