Inventiones mathematicae

, Volume 140, Issue 3, pp 605-637

First online:

The algebraic torus theorem

  • M.J. DunwoodyAffiliated withFaculty of Mathematics, University of Southampton, Southampton, SO17 1BJ, UK¶(e-mail:
  • , E.L. SwensonAffiliated withDepartment of Mathematics, Brigham Young University, Provo, UT 84602, USA¶(e-mail:

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A structure theorem is proved for a finitely generated group with a finitely generated virtually polycyclic codimension one subgroup.

Mathematics Subject Classification (1991): 20F32