• Title of article

    The singularity obstruction for group splittings

  • Author/Authors

    Graham A. Niblo، نويسنده , , G.A.، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2002
  • Pages
    15
  • From page
    17
  • To page
    31
  • 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.
  • Keywords
    Splitting obstruction , CAT(0) cube complex , Bass–Serre theory , Amalgamated free product , HNN extension
  • Journal title
    Topology and its Applications
  • Serial Year
    2002
  • Journal title
    Topology and its Applications
  • Record number

    1579841