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The algebraic torus theorem. (English) Zbl 1017.20034

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

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
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