Dunwoody, M. J.; Swenson, E. L. The algebraic torus theorem. (English) Zbl 1017.20034 Invent. Math. 140, No. 3, 605-637 (2000). Summary: A structure theorem is proved for a finitely generated group with a finitely generated virtually polycyclic codimension one subgroup. Cited in 1 ReviewCited in 21 Documents MSC: 20F65 Geometric group theory 20F05 Generators, relations, and presentations of groups 20E07 Subgroup theorems; subgroup growth 20E06 Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations Keywords:finitely generated groups; virtually polycyclic subgroups; ends of groups; HNN-extensions; free products PDFBibTeX XMLCite \textit{M. J. Dunwoody} and \textit{E. L. Swenson}, Invent. Math. 140, No. 3, 605--637 (2000; Zbl 1017.20034) Full Text: DOI