A finitely-presented solvable group with a small quasi-isometry group

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A finitely-presented solvable group with a small quasi-isometry group

We exhibit a family of infinite, finitely-presented, nilpotent-byabelian groups. Each member of this family is a solvable S-arithmetic group that is related to Baumslag-Solitar groups, and everyone of these groups has a quasi-isometry group that is virtually a product of a solvable real Lie group and a solvable p-adic Lie group. In addition, we propose a candidate for a polycyclic group whose q...

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ژورنال

عنوان ژورنال: Michigan Mathematical Journal

سال: 2007

ISSN: 0026-2285

DOI: 10.1307/mmj/1177681982