Embedding ℤ2 * Z as a discrete subgroup into small linear groups

G. A. Soifer

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1 Scopus citations


At the 2011 Durham Conference "Geometry and Arithmetic of Lattices" M. Kapovich formulated the following Question. Does there exist an embedding ℤ2 * ℤ Rightwards arrow with hook sign SL(3, ℤ)? The goal of the paper is to prove the following Main Theorem. If p and m are arbitrary positive integers then there exists an embedding ℤ2 * Fm Rightwards arrow with hook sign SL(3, ℤ[1/p]).

Original languageEnglish
Article number1250057
JournalInternational Journal of Algebra and Computation
Issue number7
StatePublished - Nov 2012

Bibliographical note

Funding Information:
The author would like to thank several institutions and foundations for their support: SFB 701 “Spektrale Strukturen und Topologische Methoden in der Mathe-matik”, USA-Israel Binational Science foundation under BSF grant 2004010, the Emmy Noether Research Institute for Mathematics, Bar-Ilan University and the Israel Science Foundation under ISF grant 657/09 and Max Planck Institute for Mathematics, Bonn. I would like to thank the referees for very helpful suggestions and comments.


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