AN ANALOGUE OF THE TORUS DECOMPOSITION THEOREM FOR CERTAIN POINCARfi DUALITY GROUPS

@inproceedings{Kropholler1988ANAO,
  title={AN ANALOGUE OF THE TORUS DECOMPOSITION THEOREM FOR CERTAIN POINCARfi DUALITY GROUPS},
  author={Peter H. Kropholler},
  year={1988}
}
It is shown that Poincare* duality groups which satisfy the maximal condition on centralisers have a canonical decomposition as the fundamental group of a finite graph of groups in which the edge groups are polycyclic-by-finite. The results give useful information only when there are large polycyclic subgroups. Since 3-manifolds groups satisfy Max-c, the results provide a purely grouptheoretic proof of the Torus Decomposion Theorem. In general, fundamental groups of closed aspherical manifolds… CONTINUE READING

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