Inventiones mathematicae

, Volume 140, Issue 3, pp 605–637

The algebraic torus theorem


  • M.J. Dunwoody
    • Faculty of Mathematics, University of Southampton, Southampton, SO17 1BJ, UK¶(e-mail:
  • E.L. Swenson
    • Department of Mathematics, Brigham Young University, Provo, UT 84602, USA¶(e-mail:

DOI: 10.1007/s002220000063

Cite this article as:
Dunwoody, M. & Swenson, E. Invent. math. (2000) 140: 605. doi:10.1007/s002220000063


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

Mathematics Subject Classification (1991): 20F32
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© Springer-Verlag Berlin Heidelberg 2000