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

G. A. Soifer

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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
Volume22
Issue number7
DOIs
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.

Funding

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.

FundersFunder number
Emmy Noether Research Institute for Mathematics, Bar-Ilan University
United States-Israel Binational Science Foundation2004010
Israel Science Foundation657/09
Max-Planck-Institut für Mathematik in den Naturwissenschaften

    Keywords

    • Arithmetic subgroups
    • free products
    • free subgroups
    • lattices

    Fingerprint

    Dive into the research topics of 'Embedding ℤ2 * Z as a discrete subgroup into small linear groups'. Together they form a unique fingerprint.

    Cite this