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On the asymptotic geometry of abelian-by-cyclic groups
Acta Mathematica, no. 2 (2000): 145-202
摘要
A finitely presented, torsion free, abelian-by-cyclic group can always be
written as an ascending HNN extension Gamma_M of Z^n, determined by an n x n
integer matrix M with det(M) \ne 0. The group Gamma_M is polycyclic if and only
if |det(M)|=1. We give a complete classification of the nonpolycyclic groups
Gamma_M up to quasi-isometry: gi...更多
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