The Auslander Conjecture for Nil-affine Crystallographic Groups
نویسندگان
چکیده
We study subgroups Γ in Aff(N) = N ⋊ Aut(N) acting properly discontinuously and cocompactly on N . Here N is a simply connected, connected real nilpotent Lie group of finite dimension n. This situation is a natural generalization of the so-called affine crystallographic groups. We prove that for all dimensions 1 ≤ n ≤ 5 the generalized Auslander conjecture holds, i.e., that such subgroups are virtually polycyclic.
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